Edit Profile (opens in new tab) Solanes, Gil Co-Author Distance Author ID: solanes.gil Published as: Solanes, Gil; Solanes, G. External Links: MGP · ORCID Documents Indexed: 33 Publications since 2001 1 Contribution as Editor Co-Authors: 19 Co-Authors with 28 Joint Publications 317 Co-Co-Authors all top 5 Co-Authors 6 single-authored 8 Gallego, Eduardo 7 Bernig, Andreas 5 Teufel, Eberhard 3 Faifman, Dmitry 3 Fu, Joseph Howland Guthrie 3 O’Hara, Jun 3 Reventos, Agusti 2 Langevin, Rémi 1 Abardia, Judit 1 Alesker, Semyon 1 Alías, Luis J. 1 Balacheff, Florent 1 Böröczky, Karoly jun. 1 Domokos, Mátyás 1 Escudero, Carlos Arturo 1 Kühnel, Wolfgang 1 Kurose, Takashi 1 Naveira, Antonio M. 1 Tzanev, Kroum 1 Wannerer, Thomas all top 5 Serials 3 Israel Journal of Mathematics 3 Advances in Mathematics 3 Differential Geometry and its Applications 2 Journal of Functional Analysis 2 Journal of the London Mathematical Society. Second Series 2 Manuscripta Mathematica 2 Mathematische Nachrichten 2 Advances in Geometry 1 Bulletin of the London Mathematical Society 1 Compositio Mathematica 1 Geometriae Dedicata 1 Journal of Differential Geometry 1 Journal für die Reine und Angewandte Mathematik 1 Monatshefte für Mathematik 1 Pacific Journal of Mathematics 1 Proceedings of the London Mathematical Society. Third Series 1 Tôhoku Mathematical Journal. Second Series 1 Transactions of the American Mathematical Society 1 The Journal of Geometric Analysis 1 Geometric and Functional Analysis. GAFA 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Advanced Courses in Mathematics – CRM Barcelona all top 5 Fields 30 Differential geometry (53-XX) 16 Convex and discrete geometry (52-XX) 2 Functional analysis (46-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 General and overarching topics; collections (00-XX) 1 Measure and integration (28-XX) 1 Geometry (51-XX) 1 Probability theory and stochastic processes (60-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 30 Publications have been cited 214 times in 134 Documents Cited by ▼ Year ▼ Integral geometry of complex space forms. Zbl 1298.53074Bernig, Andreas; Fu, Joseph H. G.; Solanes, Gil 44 2014 Integral geometry and the Gauss-Bonnet theorem in constant curvature spaces. Zbl 1082.53075Solanes, Gil 25 2006 Integral geometry and geometric inequalities in hyperbolic space. Zbl 1077.52010Gallego, Eduardo; Solanes, Gil 15 2005 Classification of invariant valuations on the quaternionic plane. Zbl 1305.53076Bernig, Andreas; Solanes, Gil 14 2014 The Gauss-Bonnet theorem and Crofton-type formulas in complex space forms. Zbl 1262.53066Abardia, Judit; Gallego, Eduardo; Solanes, Gil 12 2012 Hadamard-type theorems for hypersurfaces in hyperbolic spaces. Zbl 1103.52006Alías, Luis J.; Kurose, Takashi; Solanes, Gil 12 2006 Regularized Riesz energies of submanifolds. Zbl 1398.53010O’Hara, Jun; Solanes, Gil 11 2018 Dual curvature measures in Hermitian integral geometry. Zbl 1434.53080Bernig, Andreas; Fu, Joseph H. G.; Solanes, Gil 9 2018 Kinematic formulas on the quaternionic plane. Zbl 1430.52017Bernig, Andreas; Solanes, Gil 9 2017 Width of convex bodies in spaces of constant curvature. Zbl 1144.52006Gallego, E.; Reventós, A.; Solanes, G.; Teufel, E. 7 2008 Möbius invariant energies and average linking with circles. Zbl 1432.53014O’Hara, Jun; Solanes, Gil 6 2015 Contact measures in isotropic spaces. Zbl 1370.53054Solanes, Gil 6 2017 Integral geometry of exceptional spheres. Zbl 1464.53096Solanes, Gil; Wannerer, Thomas 6 2021 Integral geometry and valuations. Notes of the lectures given in the advanced course on integral geometry and valuation theory, Barcelona, Spain, September 6–10, 2010. Edited by Eduardo Gallego and Gil Solanes. Zbl 1302.53004Alesker, Semyon; Fu, Joseph H. G. 5 2014 Horospheres and convex bodies in \(n\)-dimensional hyperbolic space. Zbl 1062.52008Gallego, E.; Naveira, A. M.; Solanes, G. 5 2004 The geometry of canal surfaces and the length of curves in de Sitter space. Zbl 1244.53047Langevin, Rémi; Solanes, Gil 4 2011 Integral geometry of equidistants in hyperbolic space. Zbl 1072.53024Solanes, Gil 4 2005 Uniqueness of curvature measures in pseudo-Riemannian geometry. Zbl 1514.53118Bernig, Andreas; Faifman, Dmitry; Solanes, Gil 4 2021 Integral geometry in constant curvature Lorentz spaces. Zbl 1084.53062Solanes, Gil; Teufel, Eberhard 4 2005 Dimension of the space of unitary equivariant translation invariant tensor valuations. Zbl 1472.52004Böröczky, K. J.; Domokos, M.; Solanes, G. 3 2021 Total curvature of complete surfaces in hyperbolic space. Zbl 1200.53066Solanes, Gil 2 2010 Curvature measures of pseudo-Riemannian manifolds. Zbl 1497.53117Bernig, Andreas; Faifman, Dmitry; Solanes, Gil 2 2022 Perimeter, diameter and area of convex sets in the hyperbolic plane. Zbl 1020.52007Gallego, Eduardo; Solanes, Gil 2 2001 On bounds for total absolute curvature of surfaces in hyperbolic 3-space. Zbl 1046.53038Langevin, Rémi; Solanes, Gil 2 2003 Tight surfaces with boundary. Zbl 1220.53010Kühnel, Wolfgang; Solanes, Gil 1 2011 Linear combinations of hypersurfaces in hyperbolic space. Zbl 1276.53065Gallego, E.; Solanes, G.; Teufel, E. 1 2013 Horo-tightness and total (absolute) curvatures in hyperbolic spaces. Zbl 1278.53058Solanes, G.; Teufel, E. 1 2013 Erratum to: “Regularized Riesz energies of submanifolds”. Zbl 1441.53004O’Hara, Jun; Solanes, Gil 1 2020 Total absolute curvature and tight submanifolds in hyperbolic space. Zbl 1127.53053Solanes, Gil 1 2007 Focal sets in two-dimensional space forms. Zbl 1152.53063Escudero, Carlos Arturo; Reventós, Agustí; Solanes, Gil 1 2007 Curvature measures of pseudo-Riemannian manifolds. Zbl 1497.53117Bernig, Andreas; Faifman, Dmitry; Solanes, Gil 2 2022 Integral geometry of exceptional spheres. Zbl 1464.53096Solanes, Gil; Wannerer, Thomas 6 2021 Uniqueness of curvature measures in pseudo-Riemannian geometry. Zbl 1514.53118Bernig, Andreas; Faifman, Dmitry; Solanes, Gil 4 2021 Dimension of the space of unitary equivariant translation invariant tensor valuations. Zbl 1472.52004Böröczky, K. J.; Domokos, M.; Solanes, G. 3 2021 Erratum to: “Regularized Riesz energies of submanifolds”. Zbl 1441.53004O’Hara, Jun; Solanes, Gil 1 2020 Regularized Riesz energies of submanifolds. Zbl 1398.53010O’Hara, Jun; Solanes, Gil 11 2018 Dual curvature measures in Hermitian integral geometry. Zbl 1434.53080Bernig, Andreas; Fu, Joseph H. G.; Solanes, Gil 9 2018 Kinematic formulas on the quaternionic plane. Zbl 1430.52017Bernig, Andreas; Solanes, Gil 9 2017 Contact measures in isotropic spaces. Zbl 1370.53054Solanes, Gil 6 2017 Möbius invariant energies and average linking with circles. Zbl 1432.53014O’Hara, Jun; Solanes, Gil 6 2015 Integral geometry of complex space forms. Zbl 1298.53074Bernig, Andreas; Fu, Joseph H. G.; Solanes, Gil 44 2014 Classification of invariant valuations on the quaternionic plane. Zbl 1305.53076Bernig, Andreas; Solanes, Gil 14 2014 Integral geometry and valuations. Notes of the lectures given in the advanced course on integral geometry and valuation theory, Barcelona, Spain, September 6–10, 2010. Edited by Eduardo Gallego and Gil Solanes. Zbl 1302.53004Alesker, Semyon; Fu, Joseph H. G. 5 2014 Linear combinations of hypersurfaces in hyperbolic space. Zbl 1276.53065Gallego, E.; Solanes, G.; Teufel, E. 1 2013 Horo-tightness and total (absolute) curvatures in hyperbolic spaces. Zbl 1278.53058Solanes, G.; Teufel, E. 1 2013 The Gauss-Bonnet theorem and Crofton-type formulas in complex space forms. Zbl 1262.53066Abardia, Judit; Gallego, Eduardo; Solanes, Gil 12 2012 The geometry of canal surfaces and the length of curves in de Sitter space. Zbl 1244.53047Langevin, Rémi; Solanes, Gil 4 2011 Tight surfaces with boundary. Zbl 1220.53010Kühnel, Wolfgang; Solanes, Gil 1 2011 Total curvature of complete surfaces in hyperbolic space. Zbl 1200.53066Solanes, Gil 2 2010 Width of convex bodies in spaces of constant curvature. Zbl 1144.52006Gallego, E.; Reventós, A.; Solanes, G.; Teufel, E. 7 2008 Total absolute curvature and tight submanifolds in hyperbolic space. Zbl 1127.53053Solanes, Gil 1 2007 Focal sets in two-dimensional space forms. Zbl 1152.53063Escudero, Carlos Arturo; Reventós, Agustí; Solanes, Gil 1 2007 Integral geometry and the Gauss-Bonnet theorem in constant curvature spaces. Zbl 1082.53075Solanes, Gil 25 2006 Hadamard-type theorems for hypersurfaces in hyperbolic spaces. Zbl 1103.52006Alías, Luis J.; Kurose, Takashi; Solanes, Gil 12 2006 Integral geometry and geometric inequalities in hyperbolic space. Zbl 1077.52010Gallego, Eduardo; Solanes, Gil 15 2005 Integral geometry of equidistants in hyperbolic space. Zbl 1072.53024Solanes, Gil 4 2005 Integral geometry in constant curvature Lorentz spaces. Zbl 1084.53062Solanes, Gil; Teufel, Eberhard 4 2005 Horospheres and convex bodies in \(n\)-dimensional hyperbolic space. Zbl 1062.52008Gallego, E.; Naveira, A. M.; Solanes, G. 5 2004 On bounds for total absolute curvature of surfaces in hyperbolic 3-space. Zbl 1046.53038Langevin, Rémi; Solanes, Gil 2 2003 Perimeter, diameter and area of convex sets in the hyperbolic plane. Zbl 1020.52007Gallego, Eduardo; Solanes, Gil 2 2001 all cited Publications top 5 cited Publications all top 5 Cited by 129 Authors 15 Bernig, Andreas 15 Solanes, Gil 10 de Lima, Henrique F. 8 Faifman, Dmitry 8 O’Hara, Jun 8 Wannerer, Thomas 5 Abardia-Evéquoz, Judit 5 Hu, Yingxiang 5 Li, Haizhong 5 Wei, Yong 4 Alesker, Semyon 4 Dos Santos, Fábio Reis 4 Hug, Daniel 4 Kotrbatý, Jan 4 Teufel, Eberhard 4 Wang, Guofang 4 Xia, Chao 3 Abardia, Judit 3 Andrews, Ben 3 Aquino, Cicero Pedro 3 Araújo, Jogli G. 3 Böröczky, Karoly jun. 3 Colesanti, Andrea 3 Fu, Joseph Howland Guthrie 3 Gallego, Eduardo 3 Mahmudov, Elimhan Nadir 3 Sakata, Shigehiro 3 Scheuer, Julian 3 Velásquez, Marco Antonio Lázaro 2 de Lima, Eudes Leite 2 Domokos, Mátyás 2 Druoton, Lucie 2 Dutertre, Nicolas 2 Garnier, Lionel 2 Ge, Yuxin 2 Gómez, Eugenia Saorín 2 He, Binwu 2 Huang, Qingzhong 2 Izumiya, Shyuichi 2 Langevin, Rémi 2 Li, Chao 2 Ludwig, Monika 2 Schuster, Franz E. 2 Wang, Weidong 2 Wu, Jie 2 Zhou, Tailong 1 Albuquerque, Rui P. 1 Alfonseca-Cubero, María de los Ángeles 1 Aminian, Mehran 1 Baltazar, Halyson I. 1 Barahona, Sonia 1 Batista, Márcio 1 Bertrand, Jérôme 1 Besau, Florian 1 Bhowmick, Samrat 1 Brendle, Simon 1 Buosi, Marcelo 1 Cañete, Antonio 1 Castillon, Philippe 1 Chen, Xuzhong 1 Chen, Yimin 1 Cordier, Michelle 1 Cruz-Orive, Luis Manuel 1 Cunha, Antonio Wilson 1 Dann, Susanna 1 Dorrek, Felix 1 Eshkobilov, Olimjon 1 Florentin, Dan Itzhak 1 Ghomi, Mohammad 1 Ghosh, Mrityunjoy 1 Girão, Frederico 1 Gual-Arnau, Ximo 1 Haberl, Christoph 1 Herburt, Irmina 1 Hernández Cifre, María A. 1 Herold, Felix 1 Hung, Pei-Ken 1 Ishizeki, Aya 1 Käfer, Bastian 1 Karlıga, Baki 1 Kertész, Dávid Csaba 1 Kwong, Kwok-Kun 1 Lai, Ducnam 1 Lassak, Marek 1 Leichtweiss, Kurt 1 Li, Ming 1 Lima, Eraldo Almeida jun. 1 Lin, Youjiang 1 Lopes de Lima, Levi 1 Ma, Xiang 1 Marsland, Stephen R. 1 Martínez Fernández, Antonio R. 1 McLachlan, Robert I. 1 Merino, Bernardo González 1 Mussnig, Fabian 1 Musso, Emilio 1 Nagasawa, Takeyuki 1 Natário, José 1 Nicolodi, Lorenzo 1 Paluszny, Marco ...and 29 more Authors all top 5 Cited in 65 Serials 14 Advances in Mathematics 8 Journal of Functional Analysis 7 Israel Journal of Mathematics 7 Differential Geometry and its Applications 7 Geometric and Functional Analysis. GAFA 5 Geometriae Dedicata 5 The Journal of Geometric Analysis 5 Calculus of Variations and Partial Differential Equations 3 Mathematische Nachrichten 3 Proceedings of the American Mathematical Society 2 Journal of Mathematical Analysis and Applications 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Journal of Optimization Theory and Applications 2 Journal für die Reine und Angewandte Mathematik 2 Manuscripta Mathematica 2 Mathematika 2 Pacific Journal of Mathematics 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Advances in Applied Mathematics 2 Advances in Geometry 1 Communications on Pure and Applied Mathematics 1 Journal of Geometry and Physics 1 Beiträge zur Algebra und Geometrie 1 Acta Mathematica Vietnamica 1 American Journal of Mathematics 1 Bulletin of the London Mathematical Society 1 Colloquium Mathematicum 1 Compositio Mathematica 1 Czechoslovak Mathematical Journal 1 Journal of Differential Geometry 1 Journal of Geometry 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Monatshefte für Mathematik 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Quaestiones Mathematicae 1 Tôhoku Mathematical Journal. Second Series 1 Transactions of the American Mathematical Society 1 Chinese Annals of Mathematics. Series B 1 Acta Mathematica Hungarica 1 Annals of Global Analysis and Geometry 1 Probability Theory and Related Fields 1 Revista Matemática Iberoamericana 1 International Journal of Mathematics 1 International Journal of Computer Mathematics 1 Computational and Applied Mathematics 1 Selecta Mathematica. New Series 1 Vietnam Journal of Mathematics 1 Positivity 1 Journal of Inequalities and Applications 1 Geometry & Topology 1 Mathematical Inequalities & Applications 1 Journal of the European Mathematical Society (JEMS) 1 Journal of Dynamical and Control Systems 1 Communications in Contemporary Mathematics 1 Journal of High Energy Physics 1 Annales Henri Poincaré 1 Journal of the Australian Mathematical Society 1 Advanced Nonlinear Studies 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Frontiers of Mathematics in China 1 Advances in Calculus of Variations 1 Advances in Mathematical Physics 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Bollettino dell’Unione Matematica Italiana all top 5 Cited in 33 Fields 88 Differential geometry (53-XX) 67 Convex and discrete geometry (52-XX) 9 Geometry (51-XX) 8 Global analysis, analysis on manifolds (58-XX) 7 Relativity and gravitational theory (83-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 4 Algebraic geometry (14-XX) 4 Real functions (26-XX) 4 Measure and integration (28-XX) 4 Functional analysis (46-XX) 3 Manifolds and cell complexes (57-XX) 3 Probability theory and stochastic processes (60-XX) 3 Operations research, mathematical programming (90-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Potential theory (31-XX) 2 Partial differential equations (35-XX) 2 Difference and functional equations (39-XX) 2 Numerical analysis (65-XX) 2 Computer science (68-XX) 1 Combinatorics (05-XX) 1 Commutative algebra (13-XX) 1 Topological groups, Lie groups (22-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Ordinary differential equations (34-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 General topology (54-XX) 1 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) 1 Mathematics education (97-XX) Citations by Year