Edit Profile García-Río, Eduardo Compute Distance To: Compute Author ID: garcia-rio.eduardo Published as: Garcìa-Rìo, Eduardo; García Río, Eduardo; García-Rio, Eduardo; García-Río, E.; García-Río, Eduardo External Links: ORCID Documents Indexed: 152 Publications since 1988, including 13 Books Reviewing Activity: 31 Reviews all top 5 Co-Authors 2 single-authored 56 Vázquez-Lorenzo, Ramón 32 Brozos-Vázquez, Miguel 29 Gilkey, Peter B. 23 Calviño-Louzao, Esteban 22 Kupeli, Demir N. 22 Vázquez Abal, María Elena 15 Fernández-López, Manuel 14 Hervella, Luis M. 12 Díaz-Ramos, José Carlos 12 Matsushita, Yasuo 12 Vanhecke, Lieven 10 Bonome, Agustín 10 Castro Bolano, Regina 5 Gavino-Fernández, S. 5 Haji-Badali, Ali 5 Nikčević, Stana Ž. 5 Valle-Regueiro, Xabier 3 Gutiérrez-Rodríguez, Ixchel 3 Park, Jeonghyeong 3 Seoane-Bascoy, Javier 3 Ünal, Bülent 2 Calvaruso, Giovanni 2 Davidov, Johann T. 2 Erkekoğlu, Fazilet 2 Fiedler, Bernd 2 Gutiérrez-Rodríguez, Ixcheldzohara 2 Mariño-Villar, Rodrigo 1 Álvarez López, Jesús A. 1 Batat, Wafaa 1 Boucherif, Abdelkader 1 Caeiro-Oliveira, S. 1 Castro, Paula Maria 1 Cendán-Verdes, J. 1 Chaichi, Mohamad 1 Chaichi, Mohammad 1 Cordero, Luis A. 1 Cortés-Ayaso, Alexandre 1 Garay, Oscar Jesus 1 García-Martínez, Xabier 1 García-Ramírez, Iago 1 Hashimoto, Hideya 1 Haze, Seiya 1 Hervella, Luis Maria 1 Katayama, Noriaki 1 Koda, Takashi 1 Mushkarov, Oleg K. 1 Muskarov, Oleg K. 1 Nieto Roig, Juan Jose 1 Oguro, Takashi 1 Raki, Zoran 1 Sixto-Neira, M. 1 Stanilov, Grozio 1 Tsankov, Yulian Ts. 1 Videv, Veselin T. all top 5 Serials 7 Journal of Geometry and Physics 6 Classical and Quantum Gravity 5 Proceedings of the American Mathematical Society 5 Annals of Global Analysis and Geometry 5 Synthesis Lectures on Mathematics and Statistics 4 Annali di Matematica Pura ed Applicata. Serie Quarta 4 Results in Mathematics 4 Differential Geometry and its Applications 3 General Relativity and Gravitation 3 Journal of Mathematical Physics 3 Geometriae Dedicata 3 Kodai Mathematical Journal 3 Monatshefte für Mathematik 3 Pacific Journal of Mathematics 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Advances in Geometry 3 International Journal of Geometric Methods in Modern Physics 2 Israel Journal of Mathematics 2 Archiv der Mathematik 2 Illinois Journal of Mathematics 2 Journal of Differential Equations 2 Journal of Geometry 2 Journal of the Mathematical Society of Japan 2 Manuscripta Mathematica 2 Mathematische Nachrichten 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Tsukuba Journal of Mathematics 2 International Journal of Mathematics 2 Matemática Contemporânea 2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Houston Journal of Mathematics 1 Journal of Mathematical Analysis and Applications 1 Rocky Mountain Journal of Mathematics 1 Acta Scientiarum Mathematicarum 1 Bulletin of the London Mathematical Society 1 Canadian Journal of Mathematics 1 Canadian Mathematical Bulletin 1 Czechoslovak Mathematical Journal 1 Indiana University Mathematics Journal 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Publicationes Mathematicae 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Rivista di Matematica della Università di Parma. Serie IV 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Acta Mathematica Hungarica 1 Acta Applicandae Mathematicae 1 Journal of Applied Mathematics and Stochastic Analysis 1 Mathematics Journal of Toyama University 1 The Journal of Geometric Analysis 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Journal of Physics A: Mathematical and General 1 Linear Algebra and its Applications 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Bollettino della Unione Matemàtica Italiana. Serie VII. A 1 Rivista di Matematica della Università di Parma. Serie V 1 Arab Journal of Mathematical Sciences 1 Balkan Journal of Geometry and its Applications (BJGA) 1 The Quarterly Journal of Mathematics 1 Lecture Notes in Mathematics 1 AIP Conference Proceedings 1 Journal of Physics A: Mathematical and Theoretical 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences all top 5 Fields 148 Differential geometry (53-XX) 17 Global analysis, analysis on manifolds (58-XX) 16 Relativity and gravitational theory (83-XX) 5 General and overarching topics; collections (00-XX) 3 Partial differential equations (35-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Real functions (26-XX) 2 Astronomy and astrophysics (85-XX) 1 Algebraic geometry (14-XX) 1 Topological groups, Lie groups (22-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Ordinary differential equations (34-XX) 1 Mechanics of deformable solids (74-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 101 Publications have been cited 766 times in 429 Documents Cited by ▼ Year ▼ The geometry of Walker manifolds. Zbl 1206.53039Brozos-Vázquez, Miguel; García-Río, Eduardo; Gilkey, Peter; Nikčević, Stana; Vázquez-Lorenzo, Ramón 38 2009 A remark on compact Ricci solitons. Zbl 1132.53023Fernández-López, M.; García-Río, E. 38 2008 Three-dimensional Lorentzian homogeneous Ricci solitons. Zbl 1264.53052Brozos-Vázquez, M.; Calvaruso, G.; García-Río, E. 36 2012 Three-dimensional Lorentz manifolds admitting a parallel null vector field. Zbl 1068.53049Chaichi, M.; García-Río, E.; Vásquez-Abal, M. E. 35 2005 Osserman manifolds in semi-Riemannian geometry. Zbl 1005.53040García-Río, Eduardo; Kupeli, Demir N.; Vázquez-Lorenzo, Ramón 33 2002 Rigidity of shrinking Ricci solitons. Zbl 1226.53047Fernández-López, Manuel; García-Río, Eduardo 31 2011 Locally conformally flat Lorentzian gradient Ricci solitons. Zbl 1285.53059Brozos-Vázquez, M.; García-Río, E.; Gavino-Fernández, S. 25 2013 The geometry of modified Riemannian extensions. Zbl 1186.53056Calviño-Louzao, E.; García-Río, E.; Gilkey, P.; Vázquez-Lorenzo, R. 23 2009 A curvature condition for a twisted product to be a warped product. Zbl 0999.53029Fernández-López, M.; García-Río, E.; Kupeli, D. N.; Ünal, B. 22 2001 Curvature properties of four-dimensional Walker metrics. Zbl 1086.83031Chaichi, M.; García-Río, E.; Matsushita, Y. 21 2005 Ricci solitons on Lorentzian manifolds with large isometry groups. Zbl 1266.53049Batat, W.; Brozos-Vázquez, M.; García-Río, E.; Gavino-Fernández, S. 20 2011 On a problem of Osserman in Lorentzian geometry. Zbl 0880.53017García-Río, Eduardo; Kupeli, Demir N.; Vázquez-Abal, M. Elena 18 1997 Affine Osserman connections and their Riemann extensions. Zbl 0940.53017García-Río, Eduardo; Kupeli, Demir N.; Vázquez-Abal, M. Elena; Vázquez-Lorenzo, R. 17 1999 Homogeneous affine surfaces: affine Killing vector fields and gradient Ricci solitons. Zbl 1394.53021Brozos-Vázquez, Miguel; García-Río, Eduardo; Gilkey, Peter B. 15 2018 Maximum principles and gradient Ricci solitons. Zbl 1217.53042Fernández-López, Manuel; García-Río, Eduardo 13 2011 Almost Kähler Walker 4-manifolds. Zbl 1106.53046Davidov, J.; Díaz-Ramos, J. C.; García-Río, E.; Matsushita, Y.; Muškarov, O.; Vázquez-Lorenzo, R. 13 2007 Some remarks on locally conformally flat static space-times. Zbl 1076.53084Brozos-Vázquez, Miguel; García-Río, Eduardo; Vázquez-Lorenzo, Ramón 13 2005 On a differential equation characterizing Euclidean spheres. Zbl 1058.53027García-Río, Eduardo; Kupeli, Demir N.; Ünal, Bülent 12 2003 Isotropic Kähler structures on Engel 4-manifolds. Zbl 0964.53047García-Río, Eduardo; Matsushita, Yasuo 12 2000 Semi-Riemannian maps and their applications. Zbl 0924.53003García-Río, Eduardo; Kupeli, Demir N. 12 1999 Nonsymmetric Osserman pseudo-Riemannian manifolds. Zbl 0939.53014García-Río, Eduardo; Vázquez-Abal, M. Elena; Vázquez-Lorenzo, R. 12 1998 On gradient Ricci solitons with constant scalar curvature. Zbl 1327.53057Fernández-López, Manuel; García-Río, Eduardo 11 2016 Paraquaternionic Kähler manifolds. Zbl 0987.53020García-Río, Eduardo; Matsushita, Yasuo; Vázquez-Lorenzo, Ramón 11 2001 Riemann extensions of torsion-free connections with degenerate Ricci tensor. Zbl 1220.53026Calviño-Louzao, E.; García-Río, E.; Vázquez-Lorenzo, R. 10 2010 Curvature of indefinite almost contact manifolds. Zbl 1008.53032Bonome, Agustín; Castro, Regina; García-Río, Eduardo; Hervella, Luis 10 1997 Singularity versus splitting theorems for stably causal spacetimes. Zbl 0861.53064García-Río, Eduardo; Kupeli, Demir N. 10 1996 Homogeneous affine surfaces: moduli spaces. Zbl 1345.53015Brozos-Vázquez, M.; García-Río, E.; Gilkey, P. 9 2016 Lorentzian 3-manifolds with commuting curvature operators. Zbl 1141.53319García-Río, Eduardo; Haji-Badali, Ali; Vázquez-Abal, M. Elena; Vázquez-Lorenzo, Ramón 9 2008 Hermitian-Walker 4-manifolds. Zbl 1135.53049Davidov, J.; Díaz-Ramos, J. C.; García-Río, E.; Matsushita, Y.; Muškarov, O.; Vázquez-Lorenzo, R. 9 2008 Harmonic endomorphism fields. Zbl 0880.53032García-Río, Eduardo; Vanhecke, Lieven; Vázquez-Abal, M. Elena 9 1997 Homogeneous Ricci almost solitons. Zbl 1402.53037Calviño-Louzao, Esteban; Fernández-López, Manuel; García-Río, Eduardo; Vázquez-Lorenzo, Ramón 8 2017 Homogeneity of Lorentzian three-manifolds with recurrent curvature. Zbl 1307.53057García-Río, Eduardo; Gilkey, Peter B.; Nikčević, Stana 8 2014 Some gap theorems for gradient Ricci solitons. Zbl 1247.53051Fernández-López, Manuel; García-Río, Eduardo 8 2012 Characterizing specific Riemannian manifolds by differential equations. Zbl 1033.53033Erkekoğlu, Fazilet; García-Río, Eduardo; Kupeli, Demir N.; Ünal, Bülent 8 2003 On level sets of Lorentzian distance function. Zbl 1042.83006Erkekoğlu, F.; García-Río, E.; Kupeli, D. N. 7 2003 Nonsymmetric Osserman indefinite Kähler manifolds. Zbl 0904.53022Bonome, Agustín; Castro, Regina; García-Río, Eduardo; Hervella, Luis M.; Vázquez-Lorenzo, R. 7 1998 Conformally Osserman four-dimensional manifolds whose conformal Jacobi operators have complex eigenvalues. Zbl 1149.53316Brozos-Vázquez, M.; García-Río, E.; Vázquez-Lorenzo, R. 6 2006 New examples of Osserman metrics with nondiagonalizable Jacobi operators. Zbl 1099.53047Díaz-Ramos, J. Carlos; García-Río, Eduardo; Vázquez-Lorenzo, Ramón 6 2006 Null and infinitesimal isotropy in semi-Riemannian geometry. Zbl 0796.53018García-Río, Eduardo; Kupeli, Demir N. 6 1994 Half conformally flat generalized quasi-Einstein manifolds of metric signature \((2, 2)\). Zbl 1395.53040Brozos-Vázquez, Miguel; García-Río, Eduardo; Gilkey, Peter; Valle-Regueiro, Xabier 5 2018 Four-dimensional neutral signature self-dual gradient Ricci solitons. Zbl 1358.53045García-Río, Eduardo; Brozos-Vázquez, Miguel 5 2016 A note on compact Cotton solitons. Zbl 1256.83023Calviño-Louzao, E.; García-Río, E.; Vázquez-Lorenzo, R. 5 2012 Higher-dimensional Osserman metrics with non-nilpotent Jacobi operators. Zbl 1237.53070Calviño-Louzao, E.; García-Río, E.; Gilkey, P.; Vázquez-Lorenzo, R. 5 2012 Diameter bounds and Hitchin-Thorpe inequalities for compact Ricci solitons. Zbl 1198.53035Fernández-López, Manuel; García-Río, Eduardo 5 2010 Lorentzian three-manifolds with special curvature operators. Zbl 1132.83014García-Río, E.; Badali, A. Haji; Vázquez-Lorenzo, R. 5 2008 Complete locally conformally flat manifolds of negative curvature. Zbl 1128.53018Brozos-Vázquez, Miguel; García-Río, Eduardo; Vázquez-Lorenzo, Ramón 5 2006 Pseudo-Riemannian manifolds with simple Jacobi operators. Zbl 1042.53011Bonome, Agustin; Castro, Regina; García-Rio, Eduardo; Hervella, Luis; Vázquez-Lorenzo, Ramón 5 2002 A natural linear equation in affine geometry: the affine quasi-Einstein equation. Zbl 1392.53056Brozos-Vázquez, Miguel; García-Río, Eduardo; Gilkey, Peter; Valle-Regueiro, Xabier 4 2018 Half conformally flat gradient Ricci almost solitons. Zbl 1371.53024Brozos-Vázquez, M.; García-Río, E.; Valle-Regueiro, X. 4 2016 A note on locally conformally flat gradient Ricci solitons. Zbl 1284.53046Fernández-López, Manuel; García-Río, Eduardo 4 2014 Locally conformally flat Lorentzian quasi-Einstein manifolds. Zbl 1291.53021Brozos-Vázquez, M.; García-Río, E.; Gavino-Fernández, S. 4 2014 Relating the curvature tensor and the complex Jacobi operator of an almost Hermitian manifold. Zbl 1180.53030Brozos-Vázquez, M.; García-Río, E.; Gilkey, P. 4 2008 Four-dimensional Osserman symmetric spaces. Zbl 1008.53023García-Río, Eduardo; Vázquez-Lorenzo, Ramón 4 2001 Pseudo-Chern classes and opposite Chern classes of indefinite almost Hermitian manifolds. Zbl 0923.53009Bonome, Agustín; Castro, Regina; García-Río, Eduardo; Hervella, Luis M.; Matsushita, Y. 4 1997 Null holomorphically flat indefinite almost Hermitian manifolds. Zbl 0874.53024Bonome, Agustín; Castro, Regina; García-Río, Eduardo; Hervella, Luis M.; Matsushita, Y. 4 1995 Bach-flat isotropic gradient Ricci solitons. Zbl 1387.53058Calviño-Louzao, Esteban; García-Río, Eduardo; Gutiérrez-Rodríguez, Ixchel; Vázquez-Lorenzo, Ramón 3 2018 Local structure of self-dual gradient Yamabe solitons. Zbl 1372.53070Brozos-Vázquez, Miguel; Calviño-Louzao, Esteban; García-Río, Eduardo; Vázquez-Lorenzo, Ramón 3 2016 Homothety curvature homogeneity and homothety homogeneity. Zbl 1343.53072García-Río, E.; Gilkey, P.; Nikčević, S. 3 2015 Four-dimensional manifolds with degenerate self-dual Weyl curvature operator. Zbl 1181.53030Cortés-Ayaso, Alexandre; Díaz-Ramos, J. Carlos; García-Río, Eduardo 3 2008 Examples of signature \((2,2)\) manifolds with commuting curvature operators. Zbl 1129.53058Brozos-Vázquez, M.; García-Río, E.; Gilkey, P.; Vázquez-Lorenzo, R. 3 2007 Four-dimensional Osserman-Ivanov-Petrova metrics of neutral signature. Zbl 1114.83300Calviño-Louzao, Esteban; García-Río, Eduardo; Vázquez-Lorenzo, Ramón 3 2007 A note on the structure of algebraic curvature tensors. Zbl 1056.53014Díaz-Ramos, J. Carlos; García-Río, Eduardo 3 2004 Curvature properties of para-Kähler manifolds. Zbl 0843.53029García-Río, Eduardo; Hervella, Luis M.; Vásquez-Lorenzo, R. 3 1996 Almost complex manifolds with holomorphic distributions. Zbl 0813.53018Bonome, Agustín; Castro, Regina; García-Río, Eduardo; Hervella, Luis M.; Matsushita, Y. 3 1994 Affine surfaces which are Kähler, para-Kähler, or nilpotent Kähler. Zbl 1400.53029Calviño-Louzao, E.; García-Río, E.; Gilkey, P.; Gutiérrez-Rodríguez, I.; Vázquez-Lorenzo, R. 2 2018 Geometric properties of generalized symmetric spaces. Zbl 1335.53067Calviño-Louzao, Esteban; García-Río, Eduardo; Vázquez-Abal, María Elena; Vázquez-Lorenzo, Ramón 2 2015 A sharp lower bound for the scalar curvature of certain steady gradient Ricci solitons. Zbl 1277.53041Fernández-López, Manuel; García-Río, Eduardo 2 2013 Curvature operators and generalizations of symmetric spaces in Lorentzian geometry. Zbl 1260.53122Calviño-Louzao, E.; García-Río, E.; Vázquez-Abal, M. E.; Vázquez-Lorenzo, R. 2 2012 Four-dimensional Osserman metrics of neutral signature. Zbl 1186.53028García-Río, Eduardo; Gilkey, Peter B.; Vázquez-Abal, M. Elena; Vázquez-Lorenzo, Ramón 2 2010 Symplectic, Hermitian and Kähler structures on Walker 4-manifolds. Zbl 1173.53030García-Río, Eduardo; Haze, Seiya; Katayama, Noriaki; Matsushita, Yasuo 2 2008 Osserman and conformally Osserman manifolds with warped and twisted product structure. Zbl 1161.53025Brozos-Vázquez, Miguel; García-Río, Eduardo; Vázquez-Lorenzo, Ramón 2 2008 Osserman metrics on Walker 4-manifolds equipped with a para-Hermitian structure. Zbl 1152.53311Díaz-Ramon, J. Carlos; García-Río, Eduardo; Vázquez-Lorenzo, Ramón 2 2006 Total curvatures of geodesic spheres associated to quadratic curvature invariants. Zbl 1098.53026García-Río, Eduardo; Díaz-Ramos, J. Carlos.; Hervella, Luis 2 2005 Warped product metrics and locally conformally flat structures. Zbl 1098.53023Brozos-Vázquez, M.; García-Río, E.; Vázquez-Lorenzo, R. 2 2005 Comparison results for the volume of geodesic celestial spheres in Lorentzian manifolds. Zbl 1077.53056Díaz-Ramos, J. Carlos; García-Río, Eduardo; Hervella, Luis M. 2 2005 The structure of algebraic covariant derivative curvature tensors. Zbl 1080.53017Díaz-Ramos, J.; Fiedler, B.; García-Río, E.; Gilkey, P. 2 2004 Generalized Osserman four-dimensional manifolds. Zbl 1004.53049Bonome, Agustín; Castro, Paula; García-Río, Eduardo 2 2001 On the paraholomorphic sectional curvature of almost para-Hermitian manifolds. Zbl 0965.53052Bonome, A.; Castro, R.; García-Río, E.; Hervella, L.; Vázquez-Lorenzo, R. 2 1998 Geodesic transformations and space forms. Zbl 1076.53510García-Río, Eduardo; Vanhecke, Lieven 2 1997 Four dimensional Osserman Lorentzian manifolds. Zbl 0856.53021García-Río, Eduardo; Kupeli, Demir N. 2 1996 On the semi-Riemannian structure of the tangent bundle of a two-point homogeneous space. Zbl 0851.53021Cendán-Verdes, J.; García-Río, Eduardo; Vázquez-Abal, M. Elena 2 1994 A local characterization of Schwarzschild and Reissner metrics. Zbl 0836.53013García-Río, Eduardo; Kupeli, Demir N. 2 1994 On the holomorphic sectional curvature on an indefinite Kähler manifold. Zbl 0765.53051Bonome, Agustín; Castro, Regina; García-Río, Eduardo; Hervella, Luis M. 2 1992 Aspects of differential geometry IV. Zbl 1419.53002Calviño-Louzao, Esteban; García-Río, Eduardo; Gilkey, Peter; Park, JeongHyeong; Vázquez-Lorenzo, Ramón 1 2019 The structure of the Ricci tensor on locally homogeneous Lorentzian gradient Ricci solitons. Zbl 1411.53036Brozos-Vázquez, M.; García-Río, E.; Gavino-Fernández, S.; Gilkey, P. 1 2018 The affine quasi-Einstein equation for homogeneous surfaces. Zbl 1409.53037Brozos-Vázquez, M.; García-Río, E.; Gilkey, P.; Valle-Regueiro, X. 1 2018 Aspects of differential geometry. III. Zbl 1371.53001Calviño-Louzao, Esteban; García-Río, Eduardo; Gilkey, Peter; Park, JeongHyeong; Vázquez-Lorenzo, Ramón 1 2017 Geometric realizability of covariant derivative Kähler tensors for almost pseudo-Hermitian and almost para-Hermitian manifolds. Zbl 1331.53046Brozos-Vázquez, Miguel; García-Río, Eduardo; Gilkey, Peter; Hervella, Luis Maria 1 2012 Local rigidity and nonrigidity of symplectic pairs. Zbl 1237.53026Calviño-Louzao, E.; García-Río, E.; Vázquez-Abal, M. E.; Vázquez-Lorenzo, R. 1 2012 Algebraic properties of curvature operators in Lorentzian manifolds with large isometry groups. Zbl 1189.53070Calvaruso, Giovanni; García-Río, Eduardo 1 2010 Four-dimensional Osserman metrics revisited. Zbl 1185.53052Calviño-Louzao, E.; García-Río, E.; Vázquez-Lorenzo, R. 1 2009 On the local geometry of three-dimensional Walker metrics. Zbl 1161.53353García-Río, E.; Haji-Badali, A.; Vázquez-Abal, M. E.; Vázquez-Lorenzo, R. 1 2008 Stanilov-Tsankov-Videv theory. Zbl 1133.53013Brozos-Vázquez, Miguel; Fiedler, Bernd; García-Río, Eduardo; Gilkey, Peter; Nikčević, Stana; Stanilov, Grozio; Tsankov, Yulian; Vázquez-Lorenzo, Ramón; Videv, Veselin 1 2007 Four-dimensional indefinite kähler Osserman manifolds. Zbl 1110.53052García-Río, Eduardo; Raki, Zoran; Vázquez-Abal, M. E. 1 2005 Locally conformally flat multidimensional cosmological models with a higher-dimensional external spacetime. Zbl 1078.83039Brozos-Vázquez, Miguel; García-Río, Eduardo; Vázquez-Lorenzo, Ramón 1 2005 A characterization of cosmological time functions. Zbl 1006.53058Fernández-López, Manuel; García-Río, Eduardo; Kupeli, Demir N. 1 2002 Notes on harmonic tensor fields. Zbl 0940.53035García-Río, Eduardo; Vanhecke, Lieven; Vázquez-Abal, M. Elena 1 1999 Some splitting theorems for stably causal space-times. Zbl 0953.53040García-Río, Eduardo; Kupeli, Demir N. 1 1998 Five-dimensional \(\varphi\)-symmetric spaces. Zbl 0889.53031García-Río, Eduardo; Vanhecke, Lieven 1 1996 Harmonic connections. Zbl 0881.53013García-Río, Eduardo; Vanhecke, Lieven; Vázquez-Abal, M. Elena 1 1996 Aspects of differential geometry IV. Zbl 1419.53002Calviño-Louzao, Esteban; García-Río, Eduardo; Gilkey, Peter; Park, JeongHyeong; Vázquez-Lorenzo, Ramón 1 2019 Homogeneous affine surfaces: affine Killing vector fields and gradient Ricci solitons. Zbl 1394.53021Brozos-Vázquez, Miguel; García-Río, Eduardo; Gilkey, Peter B. 15 2018 Half conformally flat generalized quasi-Einstein manifolds of metric signature \((2, 2)\). Zbl 1395.53040Brozos-Vázquez, Miguel; García-Río, Eduardo; Gilkey, Peter; Valle-Regueiro, Xabier 5 2018 A natural linear equation in affine geometry: the affine quasi-Einstein equation. Zbl 1392.53056Brozos-Vázquez, Miguel; García-Río, Eduardo; Gilkey, Peter; Valle-Regueiro, Xabier 4 2018 Bach-flat isotropic gradient Ricci solitons. Zbl 1387.53058Calviño-Louzao, Esteban; García-Río, Eduardo; Gutiérrez-Rodríguez, Ixchel; Vázquez-Lorenzo, Ramón 3 2018 Affine surfaces which are Kähler, para-Kähler, or nilpotent Kähler. Zbl 1400.53029Calviño-Louzao, E.; García-Río, E.; Gilkey, P.; Gutiérrez-Rodríguez, I.; Vázquez-Lorenzo, R. 2 2018 The structure of the Ricci tensor on locally homogeneous Lorentzian gradient Ricci solitons. Zbl 1411.53036Brozos-Vázquez, M.; García-Río, E.; Gavino-Fernández, S.; Gilkey, P. 1 2018 The affine quasi-Einstein equation for homogeneous surfaces. Zbl 1409.53037Brozos-Vázquez, M.; García-Río, E.; Gilkey, P.; Valle-Regueiro, X. 1 2018 Homogeneous Ricci almost solitons. Zbl 1402.53037Calviño-Louzao, Esteban; Fernández-López, Manuel; García-Río, Eduardo; Vázquez-Lorenzo, Ramón 8 2017 Aspects of differential geometry. III. Zbl 1371.53001Calviño-Louzao, Esteban; García-Río, Eduardo; Gilkey, Peter; Park, JeongHyeong; Vázquez-Lorenzo, Ramón 1 2017 On gradient Ricci solitons with constant scalar curvature. Zbl 1327.53057Fernández-López, Manuel; García-Río, Eduardo 11 2016 Homogeneous affine surfaces: moduli spaces. Zbl 1345.53015Brozos-Vázquez, M.; García-Río, E.; Gilkey, P. 9 2016 Four-dimensional neutral signature self-dual gradient Ricci solitons. Zbl 1358.53045García-Río, Eduardo; Brozos-Vázquez, Miguel 5 2016 Half conformally flat gradient Ricci almost solitons. Zbl 1371.53024Brozos-Vázquez, M.; García-Río, E.; Valle-Regueiro, X. 4 2016 Local structure of self-dual gradient Yamabe solitons. Zbl 1372.53070Brozos-Vázquez, Miguel; Calviño-Louzao, Esteban; García-Río, Eduardo; Vázquez-Lorenzo, Ramón 3 2016 Homothety curvature homogeneity and homothety homogeneity. Zbl 1343.53072García-Río, E.; Gilkey, P.; Nikčević, S. 3 2015 Geometric properties of generalized symmetric spaces. Zbl 1335.53067Calviño-Louzao, Esteban; García-Río, Eduardo; Vázquez-Abal, María Elena; Vázquez-Lorenzo, Ramón 2 2015 Homogeneity of Lorentzian three-manifolds with recurrent curvature. Zbl 1307.53057García-Río, Eduardo; Gilkey, Peter B.; Nikčević, Stana 8 2014 A note on locally conformally flat gradient Ricci solitons. Zbl 1284.53046Fernández-López, Manuel; García-Río, Eduardo 4 2014 Locally conformally flat Lorentzian quasi-Einstein manifolds. Zbl 1291.53021Brozos-Vázquez, M.; García-Río, E.; Gavino-Fernández, S. 4 2014 Locally conformally flat Lorentzian gradient Ricci solitons. Zbl 1285.53059Brozos-Vázquez, M.; García-Río, E.; Gavino-Fernández, S. 25 2013 A sharp lower bound for the scalar curvature of certain steady gradient Ricci solitons. Zbl 1277.53041Fernández-López, Manuel; García-Río, Eduardo 2 2013 Three-dimensional Lorentzian homogeneous Ricci solitons. Zbl 1264.53052Brozos-Vázquez, M.; Calvaruso, G.; García-Río, E. 36 2012 Some gap theorems for gradient Ricci solitons. Zbl 1247.53051Fernández-López, Manuel; García-Río, Eduardo 8 2012 A note on compact Cotton solitons. Zbl 1256.83023Calviño-Louzao, E.; García-Río, E.; Vázquez-Lorenzo, R. 5 2012 Higher-dimensional Osserman metrics with non-nilpotent Jacobi operators. Zbl 1237.53070Calviño-Louzao, E.; García-Río, E.; Gilkey, P.; Vázquez-Lorenzo, R. 5 2012 Curvature operators and generalizations of symmetric spaces in Lorentzian geometry. Zbl 1260.53122Calviño-Louzao, E.; García-Río, E.; Vázquez-Abal, M. E.; Vázquez-Lorenzo, R. 2 2012 Geometric realizability of covariant derivative Kähler tensors for almost pseudo-Hermitian and almost para-Hermitian manifolds. Zbl 1331.53046Brozos-Vázquez, Miguel; García-Río, Eduardo; Gilkey, Peter; Hervella, Luis Maria 1 2012 Local rigidity and nonrigidity of symplectic pairs. Zbl 1237.53026Calviño-Louzao, E.; García-Río, E.; Vázquez-Abal, M. E.; Vázquez-Lorenzo, R. 1 2012 Rigidity of shrinking Ricci solitons. Zbl 1226.53047Fernández-López, Manuel; García-Río, Eduardo 31 2011 Ricci solitons on Lorentzian manifolds with large isometry groups. Zbl 1266.53049Batat, W.; Brozos-Vázquez, M.; García-Río, E.; Gavino-Fernández, S. 20 2011 Maximum principles and gradient Ricci solitons. Zbl 1217.53042Fernández-López, Manuel; García-Río, Eduardo 13 2011 Riemann extensions of torsion-free connections with degenerate Ricci tensor. Zbl 1220.53026Calviño-Louzao, E.; García-Río, E.; Vázquez-Lorenzo, R. 10 2010 Diameter bounds and Hitchin-Thorpe inequalities for compact Ricci solitons. Zbl 1198.53035Fernández-López, Manuel; García-Río, Eduardo 5 2010 Four-dimensional Osserman metrics of neutral signature. Zbl 1186.53028García-Río, Eduardo; Gilkey, Peter B.; Vázquez-Abal, M. Elena; Vázquez-Lorenzo, Ramón 2 2010 Algebraic properties of curvature operators in Lorentzian manifolds with large isometry groups. Zbl 1189.53070Calvaruso, Giovanni; García-Río, Eduardo 1 2010 The geometry of Walker manifolds. Zbl 1206.53039Brozos-Vázquez, Miguel; García-Río, Eduardo; Gilkey, Peter; Nikčević, Stana; Vázquez-Lorenzo, Ramón 38 2009 The geometry of modified Riemannian extensions. Zbl 1186.53056Calviño-Louzao, E.; García-Río, E.; Gilkey, P.; Vázquez-Lorenzo, R. 23 2009 Four-dimensional Osserman metrics revisited. Zbl 1185.53052Calviño-Louzao, E.; García-Río, E.; Vázquez-Lorenzo, R. 1 2009 A remark on compact Ricci solitons. Zbl 1132.53023Fernández-López, M.; García-Río, E. 38 2008 Lorentzian 3-manifolds with commuting curvature operators. Zbl 1141.53319García-Río, Eduardo; Haji-Badali, Ali; Vázquez-Abal, M. Elena; Vázquez-Lorenzo, Ramón 9 2008 Hermitian-Walker 4-manifolds. Zbl 1135.53049Davidov, J.; Díaz-Ramos, J. C.; García-Río, E.; Matsushita, Y.; Muškarov, O.; Vázquez-Lorenzo, R. 9 2008 Lorentzian three-manifolds with special curvature operators. Zbl 1132.83014García-Río, E.; Badali, A. Haji; Vázquez-Lorenzo, R. 5 2008 Relating the curvature tensor and the complex Jacobi operator of an almost Hermitian manifold. Zbl 1180.53030Brozos-Vázquez, M.; García-Río, E.; Gilkey, P. 4 2008 Four-dimensional manifolds with degenerate self-dual Weyl curvature operator. Zbl 1181.53030Cortés-Ayaso, Alexandre; Díaz-Ramos, J. Carlos; García-Río, Eduardo 3 2008 Symplectic, Hermitian and Kähler structures on Walker 4-manifolds. Zbl 1173.53030García-Río, Eduardo; Haze, Seiya; Katayama, Noriaki; Matsushita, Yasuo 2 2008 Osserman and conformally Osserman manifolds with warped and twisted product structure. Zbl 1161.53025Brozos-Vázquez, Miguel; García-Río, Eduardo; Vázquez-Lorenzo, Ramón 2 2008 On the local geometry of three-dimensional Walker metrics. Zbl 1161.53353García-Río, E.; Haji-Badali, A.; Vázquez-Abal, M. E.; Vázquez-Lorenzo, R. 1 2008 Almost Kähler Walker 4-manifolds. Zbl 1106.53046Davidov, J.; Díaz-Ramos, J. C.; García-Río, E.; Matsushita, Y.; Muškarov, O.; Vázquez-Lorenzo, R. 13 2007 Examples of signature \((2,2)\) manifolds with commuting curvature operators. Zbl 1129.53058Brozos-Vázquez, M.; García-Río, E.; Gilkey, P.; Vázquez-Lorenzo, R. 3 2007 Four-dimensional Osserman-Ivanov-Petrova metrics of neutral signature. Zbl 1114.83300Calviño-Louzao, Esteban; García-Río, Eduardo; Vázquez-Lorenzo, Ramón 3 2007 Stanilov-Tsankov-Videv theory. Zbl 1133.53013Brozos-Vázquez, Miguel; Fiedler, Bernd; García-Río, Eduardo; Gilkey, Peter; Nikčević, Stana; Stanilov, Grozio; Tsankov, Yulian; Vázquez-Lorenzo, Ramón; Videv, Veselin 1 2007 Conformally Osserman four-dimensional manifolds whose conformal Jacobi operators have complex eigenvalues. Zbl 1149.53316Brozos-Vázquez, M.; García-Río, E.; Vázquez-Lorenzo, R. 6 2006 New examples of Osserman metrics with nondiagonalizable Jacobi operators. Zbl 1099.53047Díaz-Ramos, J. Carlos; García-Río, Eduardo; Vázquez-Lorenzo, Ramón 6 2006 Complete locally conformally flat manifolds of negative curvature. Zbl 1128.53018Brozos-Vázquez, Miguel; García-Río, Eduardo; Vázquez-Lorenzo, Ramón 5 2006 Osserman metrics on Walker 4-manifolds equipped with a para-Hermitian structure. Zbl 1152.53311Díaz-Ramon, J. Carlos; García-Río, Eduardo; Vázquez-Lorenzo, Ramón 2 2006 Three-dimensional Lorentz manifolds admitting a parallel null vector field. Zbl 1068.53049Chaichi, M.; García-Río, E.; Vásquez-Abal, M. E. 35 2005 Curvature properties of four-dimensional Walker metrics. Zbl 1086.83031Chaichi, M.; García-Río, E.; Matsushita, Y. 21 2005 Some remarks on locally conformally flat static space-times. Zbl 1076.53084Brozos-Vázquez, Miguel; García-Río, Eduardo; Vázquez-Lorenzo, Ramón 13 2005 Total curvatures of geodesic spheres associated to quadratic curvature invariants. Zbl 1098.53026García-Río, Eduardo; Díaz-Ramos, J. Carlos.; Hervella, Luis 2 2005 Warped product metrics and locally conformally flat structures. Zbl 1098.53023Brozos-Vázquez, M.; García-Río, E.; Vázquez-Lorenzo, R. 2 2005 Comparison results for the volume of geodesic celestial spheres in Lorentzian manifolds. Zbl 1077.53056Díaz-Ramos, J. Carlos; García-Río, Eduardo; Hervella, Luis M. 2 2005 Four-dimensional indefinite kähler Osserman manifolds. Zbl 1110.53052García-Río, Eduardo; Raki, Zoran; Vázquez-Abal, M. E. 1 2005 Locally conformally flat multidimensional cosmological models with a higher-dimensional external spacetime. Zbl 1078.83039Brozos-Vázquez, Miguel; García-Río, Eduardo; Vázquez-Lorenzo, Ramón 1 2005 A note on the structure of algebraic curvature tensors. Zbl 1056.53014Díaz-Ramos, J. Carlos; García-Río, Eduardo 3 2004 The structure of algebraic covariant derivative curvature tensors. Zbl 1080.53017Díaz-Ramos, J.; Fiedler, B.; García-Río, E.; Gilkey, P. 2 2004 On a differential equation characterizing Euclidean spheres. Zbl 1058.53027García-Río, Eduardo; Kupeli, Demir N.; Ünal, Bülent 12 2003 Characterizing specific Riemannian manifolds by differential equations. Zbl 1033.53033Erkekoğlu, Fazilet; García-Río, Eduardo; Kupeli, Demir N.; Ünal, Bülent 8 2003 On level sets of Lorentzian distance function. Zbl 1042.83006Erkekoğlu, F.; García-Río, E.; Kupeli, D. N. 7 2003 Osserman manifolds in semi-Riemannian geometry. Zbl 1005.53040García-Río, Eduardo; Kupeli, Demir N.; Vázquez-Lorenzo, Ramón 33 2002 Pseudo-Riemannian manifolds with simple Jacobi operators. Zbl 1042.53011Bonome, Agustin; Castro, Regina; García-Rio, Eduardo; Hervella, Luis; Vázquez-Lorenzo, Ramón 5 2002 A characterization of cosmological time functions. Zbl 1006.53058Fernández-López, Manuel; García-Río, Eduardo; Kupeli, Demir N. 1 2002 A curvature condition for a twisted product to be a warped product. Zbl 0999.53029Fernández-López, M.; García-Río, E.; Kupeli, D. N.; Ünal, B. 22 2001 Paraquaternionic Kähler manifolds. Zbl 0987.53020García-Río, Eduardo; Matsushita, Yasuo; Vázquez-Lorenzo, Ramón 11 2001 Four-dimensional Osserman symmetric spaces. Zbl 1008.53023García-Río, Eduardo; Vázquez-Lorenzo, Ramón 4 2001 Generalized Osserman four-dimensional manifolds. Zbl 1004.53049Bonome, Agustín; Castro, Paula; García-Río, Eduardo 2 2001 Isotropic Kähler structures on Engel 4-manifolds. Zbl 0964.53047García-Río, Eduardo; Matsushita, Yasuo 12 2000 Affine Osserman connections and their Riemann extensions. Zbl 0940.53017García-Río, Eduardo; Kupeli, Demir N.; Vázquez-Abal, M. Elena; Vázquez-Lorenzo, R. 17 1999 Semi-Riemannian maps and their applications. Zbl 0924.53003García-Río, Eduardo; Kupeli, Demir N. 12 1999 Notes on harmonic tensor fields. Zbl 0940.53035García-Río, Eduardo; Vanhecke, Lieven; Vázquez-Abal, M. Elena 1 1999 Nonsymmetric Osserman pseudo-Riemannian manifolds. Zbl 0939.53014García-Río, Eduardo; Vázquez-Abal, M. Elena; Vázquez-Lorenzo, R. 12 1998 Nonsymmetric Osserman indefinite Kähler manifolds. Zbl 0904.53022Bonome, Agustín; Castro, Regina; García-Río, Eduardo; Hervella, Luis M.; Vázquez-Lorenzo, R. 7 1998 On the paraholomorphic sectional curvature of almost para-Hermitian manifolds. Zbl 0965.53052Bonome, A.; Castro, R.; García-Río, E.; Hervella, L.; Vázquez-Lorenzo, R. 2 1998 Some splitting theorems for stably causal space-times. Zbl 0953.53040García-Río, Eduardo; Kupeli, Demir N. 1 1998 On a problem of Osserman in Lorentzian geometry. Zbl 0880.53017García-Río, Eduardo; Kupeli, Demir N.; Vázquez-Abal, M. Elena 18 1997 Curvature of indefinite almost contact manifolds. Zbl 1008.53032Bonome, Agustín; Castro, Regina; García-Río, Eduardo; Hervella, Luis 10 1997 Harmonic endomorphism fields. Zbl 0880.53032García-Río, Eduardo; Vanhecke, Lieven; Vázquez-Abal, M. Elena 9 1997 Pseudo-Chern classes and opposite Chern classes of indefinite almost Hermitian manifolds. Zbl 0923.53009Bonome, Agustín; Castro, Regina; García-Río, Eduardo; Hervella, Luis M.; Matsushita, Y. 4 1997 Geodesic transformations and space forms. Zbl 1076.53510García-Río, Eduardo; Vanhecke, Lieven 2 1997 Singularity versus splitting theorems for stably causal spacetimes. Zbl 0861.53064García-Río, Eduardo; Kupeli, Demir N. 10 1996 Curvature properties of para-Kähler manifolds. Zbl 0843.53029García-Río, Eduardo; Hervella, Luis M.; Vásquez-Lorenzo, R. 3 1996 Four dimensional Osserman Lorentzian manifolds. Zbl 0856.53021García-Río, Eduardo; Kupeli, Demir N. 2 1996 Five-dimensional \(\varphi\)-symmetric spaces. Zbl 0889.53031García-Río, Eduardo; Vanhecke, Lieven 1 1996 Harmonic connections. Zbl 0881.53013García-Río, Eduardo; Vanhecke, Lieven; Vázquez-Abal, M. Elena 1 1996 Null holomorphically flat indefinite almost Hermitian manifolds. Zbl 0874.53024Bonome, Agustín; Castro, Regina; García-Río, Eduardo; Hervella, Luis M.; Matsushita, Y. 4 1995 Null and infinitesimal isotropy in semi-Riemannian geometry. Zbl 0796.53018García-Río, Eduardo; Kupeli, Demir N. 6 1994 Almost complex manifolds with holomorphic distributions. Zbl 0813.53018Bonome, Agustín; Castro, Regina; García-Río, Eduardo; Hervella, Luis M.; Matsushita, Y. 3 1994 On the semi-Riemannian structure of the tangent bundle of a two-point homogeneous space. Zbl 0851.53021Cendán-Verdes, J.; García-Río, Eduardo; Vázquez-Abal, M. Elena 2 1994 A local characterization of Schwarzschild and Reissner metrics. Zbl 0836.53013García-Río, Eduardo; Kupeli, Demir N. 2 1994 On the holomorphic sectional curvature on an indefinite Kähler manifold. Zbl 0765.53051Bonome, Agustín; Castro, Regina; García-Río, Eduardo; Hervella, Luis M. 2 1992 ...and 1 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 390 Authors 57 García-Río, Eduardo 43 Gilkey, Peter B. 34 Calvaruso, Giovanni 22 Vázquez-Lorenzo, Ramón 21 Brozos-Vázquez, Miguel 13 Calviño-Louzao, Esteban 11 Zaeim, Amirhesam 10 Bejan, Cornelia-Livia 10 Matsushita, Yasuo 10 Vázquez Abal, María Elena 9 Díaz-Ramos, José Carlos 9 Massamba, Fortuné 9 Nikčević, Stana Ž. 7 Davidov, Johann T. 7 Deshmukh, Sharief 7 Fernández-López, Manuel 7 Haji-Badali, Ali 7 Kupeli, Demir N. 7 Ṣahin, Bayram 7 Tadano, Homare 7 Valle-Regueiro, Xabier 6 Batat, Wafaa 6 Catino, Giovanni 6 Mantica, Carlo Alberto 6 Mastrolia, Paolo 6 Molinari, Luca Guido 5 De, Uday Chand 5 Diallo, Abdoul Salam 5 Druţă-Romaniuc, Simona-Luiza 5 Pina, Romildo da Silva 5 Rigoli, Marco 5 Stepanov, Sergeĭ Evgen’evich 4 Bidabad, Behroz 4 Blažić, Novica 4 Cao, Huai-Dong 4 Chudecki, Adam 4 de Leo, Barbara 4 Dunn, Corey M. 4 Gutiérrez, Manuel 4 İşcan, Murat 4 Kowalski, Oldřich 4 Law, Peter R. 4 Mushkarov, Oleg K. 4 Muskarov, Oleg K. 4 Seoane-Bascoy, Javier 4 Vîlcu, Gabriel Eduard 4 Wu, Jiayong 4 Wu, Peng 3 Alías, Luis J. 3 Chaichi, Mohamad 3 Chen, Qiang 3 Crâşmăreanu, Mircea 3 D’Ascanio, Daniela 3 Derdzinski, Andrzej 3 Dos Santos, João Paulo 3 Galaev, Anton S. 3 Gezer, Aydin 3 Gomes, José Nazareno Vieira 3 Güler, Sinem 3 Hervella, Luis M. 3 Ivanov, Stefan P. 3 Leandro, Benedito 3 Mikeš, Josef 3 Nadjafikhah, Mehdi 3 Park, Jae-Hyung 3 Perrone, Domenico 3 Pina, Romildo S. 3 Pisani, Pablo A. G. 3 Rakić, Zoran 3 Rimoldi, Michele 3 Schuller, Frederic P. 3 Suh, Young Jin 3 Turanli, Sibel 3 Ünal, Bülent 3 Vanhecke, Lieven 3 Wohlfarth, Mattias N. R. 3 Wylie, William C. 3 Zhang, Liangdi 2 Akbulut, Kursat 2 Andrejić, Vladica 2 Atindogbe, Cyriaque 2 Azimpour, S. 2 Blair, David E. 2 Bonome, Agustín 2 Caldarella, Angelo V. 2 Castro Bolano, Regina 2 Chen, Bang-Yen 2 Chow, Bennett 2 Chu, Yawei 2 Dobarro, Fernando Ruben 2 Dunajski, Maciej 2 Erkekoğlu, Fazilet 2 Fang, Fuquan 2 Feitosa, F. E. S. 2 Fernández-Culma, Edison Alberto 2 Gavino-Fernández, S. 2 Godoy, Yamile 2 Gutiérrez-Rodríguez, Ixchel 2 Hassirou, Mouhamadou 2 Ho, Pak Tung ...and 290 more Authors all top 5 Cited in 117 Serials 46 Journal of Geometry and Physics 37 Differential Geometry and its Applications 25 International Journal of Geometric Methods in Modern Physics 18 Annals of Global Analysis and Geometry 14 Journal of Mathematical Physics 14 The Journal of Geometric Analysis 13 Journal of Geometry 13 Results in Mathematics 12 Mediterranean Journal of Mathematics 10 Journal of Mathematical Analysis and Applications 9 Proceedings of the American Mathematical Society 8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 8 Advances in Geometry 7 Annali di Matematica Pura ed Applicata. 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