Parker, Edward The Ricci decomposition of the inertia tensor for a rigid body in arbitrary spatial dimensions. (English) Zbl 07798773 Int. J. Theor. Phys. 63, No. 1, Paper No. 3, 11 p. (2024). MSC: 70E15 70G45 53Z05 15A75 PDFBibTeX XMLCite \textit{E. Parker}, Int. J. Theor. Phys. 63, No. 1, Paper No. 3, 11 p. (2024; Zbl 07798773) Full Text: DOI arXiv Backlinks: MO OA License
Kelly, Stephen J. Constructing spanning sets of affine algebraic curvature tensors. (English) Zbl 1536.53044 Undergrad. Math J. 24, No. 1, Paper No. 5, 19 p. (2023). MSC: 53B20 53A45 PDFBibTeX XMLCite \textit{S. J. Kelly}, Undergrad. Math J. 24, No. 1, Paper No. 5, 19 p. (2023; Zbl 1536.53044) Full Text: Link
Chung, Youngjoo; Hwang, Chi-Ok; Yang, Hyun Seok Algebraic properties of Riemannian manifolds. (English) Zbl 1540.53028 Gen. Relativ. Gravitation 55, No. 8, Paper No. 92, 42 p. (2023). MSC: 53B20 PDFBibTeX XMLCite \textit{Y. Chung} et al., Gen. Relativ. Gravitation 55, No. 8, Paper No. 92, 42 p. (2023; Zbl 1540.53028) Full Text: DOI arXiv
Brundan, Joseph An examination of linear combinations of skew-adjoint type algebraic curvature tensors. (English) Zbl 1464.15036 PUMP J. Undergrad. Res. 4, 127-140 (2021). MSC: 15A69 53B21 PDFBibTeX XMLCite \textit{J. Brundan}, PUMP J. Undergrad. Res. 4, 127--140 (2021; Zbl 1464.15036) Full Text: Link
Heil, Konstantin; Jentsch, Tillmann A special class of symmetric Killing 2-tensors. (English) Zbl 1414.53012 J. Geom. Phys. 138, 103-123 (2019). MSC: 53B20 53C25 PDFBibTeX XMLCite \textit{K. Heil} and \textit{T. Jentsch}, J. Geom. Phys. 138, 103--123 (2019; Zbl 1414.53012) Full Text: DOI arXiv
Beitz, Stine Franziska Bianchi-convexity and applications to Ricci flow. (English) Zbl 1400.53001 Münster: Univ. Münster, Mathematisch-Naturwissenschaftliche Fakultät, Fachbereich Mathematik und Informatik (Diss.). 114 p. (2018). MSC: 53-02 53C44 53C21 53C25 PDFBibTeX XMLCite \textit{S. F. Beitz}, Bianchi-convexity and applications to Ricci flow. Münster: Univ. Münster, Mathematisch-Naturwissenschaftliche Fakultät, Fachbereich Mathematik und Informatik (Diss.) (2018; Zbl 1400.53001)
Hall, Graham Some general, algebraic remarks on tensor classification, the group \(\mathrm{O}(2,2)\) and sectional curvature in 4-dimensional manifolds of neutral signature. (English) Zbl 1380.53028 Colloq. Math. 150, No. 1, 63-86 (2017). MSC: 53B30 53C99 53A45 PDFBibTeX XMLCite \textit{G. Hall}, Colloq. Math. 150, No. 1, 63--86 (2017; Zbl 1380.53028) Full Text: DOI
Schöbel, Konrad The variety of integrable Killing tensors on the 3-sphere. (English) Zbl 1296.53078 SIGMA, Symmetry Integrability Geom. Methods Appl. 10, Paper 080, 48 p. (2014). MSC: 53C21 14H10 14M12 53C80 37J35 PDFBibTeX XMLCite \textit{K. Schöbel}, SIGMA, Symmetry Integrability Geom. Methods Appl. 10, Paper 080, 48 p. (2014; Zbl 1296.53078) Full Text: DOI arXiv EMIS
Gilkey, P.; Nekčević, S. Kähler-Weyl manifolds of dimension 4. (English) Zbl 1321.53018 Rend. Semin. Mat., Univ. Politec. Torino 70, No. 3, 297-309 (2012). MSC: 53B05 15A72 53C15 53C07 PDFBibTeX XMLCite \textit{P. Gilkey} and \textit{S. Nekčević}, Rend. Semin. Mat., Univ. Politec. Torino 70, No. 3, 297--309 (2012; Zbl 1321.53018) Full Text: arXiv
Schöbel, Konrad P. Algebraic integrability conditions for Killing tensors on constant sectional curvature manifolds. (English) Zbl 1323.70078 J. Geom. Phys. 62, No. 5, 1013-1037 (2012). MSC: 70H06 70G45 53Z05 PDFBibTeX XMLCite \textit{K. P. Schöbel}, J. Geom. Phys. 62, No. 5, 1013--1037 (2012; Zbl 1323.70078) Full Text: DOI arXiv
Brendle, Simon Einstein metrics and preserved curvature conditions for the Ricci flow. (English) Zbl 1228.53059 Ebeling, Wolfgang (ed.) et al., Complex and differential geometry. Conference held at Leibniz Universität Hannover, Germany, September 14–18, 2009. Proceedings. Berlin: Springer (ISBN 978-3-642-20299-5/hbk; 978-3-642-20300-8/ebook). Springer Proceedings in Mathematics 8, 81-85 (2011). MSC: 53C25 53C24 53C44 PDFBibTeX XMLCite \textit{S. Brendle}, Springer Proc. Math. 8, 81--85 (2011; Zbl 1228.53059) Full Text: DOI arXiv
Gilkey, P.; Nikčević, S.; Westerman, D. Geometric realizations of generalized algebraic curvature operators. (English) Zbl 1200.53013 J. Math. Phys. 50, No. 1, 013515, 9 p. (2009). MSC: 53B05 53B10 PDFBibTeX XMLCite \textit{P. Gilkey} et al., J. Math. Phys. 50, No. 1, 013515, 9 p. (2009; Zbl 1200.53013) Full Text: DOI arXiv
Bolton, John; Dillen, Franki; Fastenakels, Johan; Vrancken, Luc A best possible inequality for curvature-like tensor fields. (English) Zbl 1175.53023 Math. Inequal. Appl. 12, No. 3, Article ID 50, 663-681 (2009). Reviewer: Udo Simon (Berlin) MSC: 53B20 53B25 53A15 PDFBibTeX XMLCite \textit{J. Bolton} et al., Math. Inequal. Appl. 12, No. 3, Article ID 50, 663--681 (2009; Zbl 1175.53023) Full Text: DOI
Besse, Arthur L. Einstein manifolds. Reprint of the 1987 edition. (English) Zbl 1147.53001 Classics in Mathematics. Berlin: Springer (ISBN 978-3-540-74120-6/pbk). xii, 516 p. (2008). Reviewer: Adela-Gabriela Mihai (Bucureşti) MSC: 53-02 53C25 53C55 53C30 58J60 53C20 PDFBibTeX XMLCite \textit{A. L. Besse}, Einstein manifolds. Reprint of the 1987 edition. Berlin: Springer (2008; Zbl 1147.53001)
Blažić, N.; Gilkey, P.; Nikčević, S.; Simon, U. Algebraic theory of affine curvature tensors. (English) Zbl 1164.53320 Arch. Math., Brno 42, No. 5, 147-168 (2006). MSC: 53B20 PDFBibTeX XMLCite \textit{N. Blažić} et al., Arch. Math. (Brno) 42, No. 5, 147--168 (2006; Zbl 1164.53320) Full Text: arXiv EuDML EMIS
Pennec, Xavier; Fillard, Pierre; Ayache, Nicholas A Riemannian framework for tensor computing. (English) Zbl 1287.53031 Int. J. Comput. Vis. 66, No. 1, 41-66 (2006). MSC: 53C21 68W30 PDFBibTeX XMLCite \textit{X. Pennec} et al., Int. J. Comput. Vis. 66, No. 1, 41--66 (2006; Zbl 1287.53031) Full Text: DOI Link Backlinks: MO
Fiedler, Bernd Generators of algebraic covariant derivative curvature tensors and Young symmetrizers. (English) Zbl 1124.15023 Int. J. Comput. Res. 13, No. 1, 83-103 (2004). Reviewer: Peter B. Gilkey (Eugene) MSC: 15A72 53C05 PDFBibTeX XMLCite \textit{B. Fiedler}, Int. J. Comput. Res. 13, No. 1, 83--103 (2004; Zbl 1124.15023) Full Text: arXiv
Mclenaghan, Raymond G.; Milson, Robert; Smirnov, Roman G. Killing tensors as irreducible representations of the general linear group. (English) Zbl 1086.53071 C. R., Math., Acad. Sci. Paris 339, No. 9, 621-624 (2004). Reviewer: Sergei Platonov (Petrozavodsk) MSC: 53C30 22E45 PDFBibTeX XMLCite \textit{R. G. Mclenaghan} et al., C. R., Math., Acad. Sci. Paris 339, No. 9, 621--624 (2004; Zbl 1086.53071) Full Text: DOI Link
Gilkey, Peter; Ivanova, Raina The Jordan normal form of higher order Osserman algebraic curvature tensors. (English) Zbl 1090.53022 Commentat. Math. Univ. Carol. 43, No. 2, 231-242 (2002). MSC: 53B20 PDFBibTeX XMLCite \textit{P. Gilkey} and \textit{R. Ivanova}, Commentat. Math. Univ. Carol. 43, No. 2, 231--242 (2002; Zbl 1090.53022) Full Text: arXiv EuDML EMIS
Fiedler, Bernd Determination of the structure of algebraic curvature tensors by means of Young symmetrizers. (English) Zbl 1043.53016 Sémin. Lothar. Comb. 48, B48d, 20 p. (2002). MSC: 53B20 05E10 16D60 05-04 15A72 PDFBibTeX XMLCite \textit{B. Fiedler}, Sémin. Lothar. Comb. 48, B48d, 20 p. (2002; Zbl 1043.53016) Full Text: EuDML EMIS
Gilkey, Peter; Zhang, Tan Algebraic curvature tensors whose skew-symmetric curvature operator has constant rank 2. (English) Zbl 1017.53021 Period. Math. Hung. 44, No. 1, 7-26 (2002). MSC: 53B20 PDFBibTeX XMLCite \textit{P. Gilkey} and \textit{T. Zhang}, Period. Math. Hung. 44, No. 1, 7--26 (2002; Zbl 1017.53021) Full Text: DOI arXiv
Gilkey, Peter B.; Ivanova, Raina Complex IP pseudo-Riemannian algebraic curvature tensors. (English) Zbl 1028.53021 Opozda, Barbara (ed.) et al., PDEs, submanifolds and affine differential geometry. Contributions of a conference, Warsaw, Poland, September 4-10, 2000. Warsaw: Polish Academy of Sciences, Institute of Mathematics, Banach Cent. Publ. 57, 195-202 (2002). Reviewer: Gheorghe Zet (Iasi) MSC: 53C05 53B30 PDFBibTeX XMLCite \textit{P. B. Gilkey} and \textit{R. Ivanova}, Banach Cent. Publ. 57, 195--202 (2002; Zbl 1028.53021) Full Text: arXiv Link
Zhang, Tan Applications of algebraic topology in bounding the rank of the skew-symmetric curvature operator. (English) Zbl 1029.53028 Topology Appl. 124, No. 1, 9-24 (2002). Reviewer: A.Masiello (Bari) MSC: 53B20 57R19 PDFBibTeX XMLCite \textit{T. Zhang}, Topology Appl. 124, No. 1, 9--24 (2002; Zbl 1029.53028) Full Text: DOI
Wojtczak, L.; Urbaniak-Kucharczyk, A.; Zasada, I.; Rutkowski, J. Particles, phases, fields. (English) Zbl 0879.70013 Ławrynowicz, J. (ed.), Generalizations of complex analysis and their applications in physics. Warszawa: Polish Academy of Sciences, Inst. of Mathematics, Banach Cent. Publ. 37, 351-360 (1996). MSC: 70G45 70H40 82B26 58H15 PDFBibTeX XMLCite \textit{L. Wojtczak} et al., Banach Cent. Publ. 37, 351--360 (1996; Zbl 0879.70013) Full Text: EuDML
Kowalski, Oldřich; Prüfer, Friedbert Curvature tensors in dimension four which do not belong to any curvature homogeneous space. (English) Zbl 0813.53027 Arch. Math., Brno 30, No. 1, 45-57 (1994). Reviewer: L.Vanhecke (Heverlee) MSC: 53C20 53C30 PDFBibTeX XMLCite \textit{O. Kowalski} and \textit{F. Prüfer}, Arch. Math. (Brno) 30, No. 1, 45--57 (1994; Zbl 0813.53027) Full Text: EuDML EMIS
De Smedt, Vivian Decomposition of the curvature tensor of hyper-Kähler manifolds. (English) Zbl 0805.53019 Lett. Math. Phys. 30, No. 2, 105-117 (1994). Reviewer: L.Vanhecke (Heverlee) MSC: 53B35 53C55 81T10 PDFBibTeX XMLCite \textit{V. De Smedt}, Lett. Math. Phys. 30, No. 2, 105--117 (1994; Zbl 0805.53019) Full Text: DOI
Lastaria, Federico G.; Tricerri, Franco Curvature-orbits and locally homogeneous Riemannian manifolds. (English) Zbl 0804.53072 Ann. Mat. Pura Appl., IV. Ser. 165, 121-131 (1993). Reviewer: L.Vanhecke (Heverlee) MSC: 53C30 PDFBibTeX XMLCite \textit{F. G. Lastaria} and \textit{F. Tricerri}, Ann. Mat. Pura Appl. (4) 165, 121--131 (1993; Zbl 0804.53072) Full Text: DOI
Ornea, Liviu; Romani, Giuliano The fundamental equations of conformal submersions. (English) Zbl 0804.53044 Beitr. Algebra Geom. 34, No. 2, 233-243 (1993). Reviewer: S.Ianus (Bucureşti) MSC: 53C12 PDFBibTeX XMLCite \textit{L. Ornea} and \textit{G. Romani}, Beitr. Algebra Geom. 34, No. 2, 233--243 (1993; Zbl 0804.53044) Full Text: EuDML EMIS
Falcitelli, M.; Farinola, A. Locally conformal Kähler manifolds with pointwise constant antiholomorphic sectional curvature. (English) Zbl 0754.53050 Riv. Mat. Univ. Parma, IV. Ser. 17, 295-314 (1991). Reviewer: L.Vanhecke (Heverlee) MSC: 53C55 PDFBibTeX XMLCite \textit{M. Falcitelli} and \textit{A. Farinola}, Riv. Mat. Univ. Parma, IV. Ser. 17, 295--314 (1991; Zbl 0754.53050)
Matzeu, P.; Nikčević, S. Linear algebra of curvature tensors on Hermitian manifolds. (English) Zbl 0807.53058 An. Științ. Univ. Al. I. Cuza Iași, Ser. Nouă, Mat. 37, No. 1, 71-86 (1991). Reviewer: C.-L.Tiba (Iaşi) MSC: 53C55 PDFBibTeX XMLCite \textit{P. Matzeu} and \textit{S. Nikčević}, An. Științ. Univ. Al. I. Cuza Iași, Ser. Nouă, Mat. 37, No. 1, 71--86 (1991; Zbl 0807.53058)
Bokan, Neda The decomposition theory and its applications. (English) Zbl 0763.53017 The mathematical heritage of C. F. Gauss, Collect. Pap. Mem. C. F. Gauss, 66-99 (1991). Reviewer: L.Vanhecke (Heverlee) MSC: 53A45 53C25 PDFBibTeX XMLCite \textit{N. Bokan}, in: The mathematical heritage of C. F. Gauss. A collection of papers in memory of C. F. Gauss. London: World Scientific. 66--99 (1991; Zbl 0763.53017)
Besse, Arthur L. Alekseevskij, D. V. (ed.) Einstein manifolds. Vol. I, II. (Mnogoobraziya Ehjnstejna. Vol. I, II). Transl. from the English and with a preface by D. V. Alekseevskij. (Mnogoobraziya Ehjnshtejna. Tom I, II.) (Russian) Zbl 0734.53004 Moskva: Mir. 320 p./vol.I; 321-704 p./vol.II R. 5.60 (1990). MSC: 53-02 53C25 53C55 53C30 58J60 53C20 PDFBibTeX XMLCite \textit{A. L. Besse} and \textit{D. V. Alekseevskij} (ed.), Mnogoobraziya Ehjnshtejna. Tom I, II (Russian). Transl. from the English and with a preface by D. V. Alekseevskij. Moskva: Mir (1990; Zbl 0734.53004)
Postnikov, M. Leçons de géométrie. Variétés différentiables. Traduit du russe par Djilali Embarek. (Lectures in geometry. Differentiable manifolds. Transl. from the Russian by Djilali Embarek.) (French) Zbl 0759.57001 Traduit du Russe: Mathématiques. Moscow: Éditions Mir. 431 p. (1990). Reviewer: J.Kubarski (Łódź) MSC: 57-01 55-01 53-01 58A05 PDFBibTeX XMLCite \textit{M. Postnikov}, Lectures in geometry. Differentiable manifolds. Transl. from the Russian by Djilali Embarek. Moscow: Éditions Mir (1990; Zbl 0759.57001)
Seaman, Walter Existence and uniqueness of algebraic curvature tensors with prescribed properties and an application to the sphere theorem. (English) Zbl 0734.53037 Trans. Am. Math. Soc. 321, No. 2, 811-823 (1990). Reviewer: Y.Shikata (Nagoya) MSC: 53C20 PDFBibTeX XMLCite \textit{W. Seaman}, Trans. Am. Math. Soc. 321, No. 2, 811--823 (1990; Zbl 0734.53037) Full Text: DOI
Besse, Arthur L. Einstein manifolds. (English) Zbl 0613.53001 Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge, Bd. 10. Berlin etc.: Springer-Verlag. XII, 510 p. (1987). Reviewer: A.Derdzinski MSC: 53-02 53C25 53C55 53C30 58J60 53C20 PDFBibTeX XML Backlinks: MO MO
Johnson, David L. Sectional curvature and curvature normal forms. (English) Zbl 0411.53015 Mich. Math. J. 27, 275-294 (1980). MSC: 53B35 53B20 53A45 53A55 53C25 53C55 PDFBibTeX XMLCite \textit{D. L. Johnson}, Mich. Math. J. 27, 275--294 (1980; Zbl 0411.53015) Full Text: DOI
Johnson, David L. A curvature normal form for 4-dimensional Kähler manifolds. (English) Zbl 0406.53022 Proc. Am. Math. Soc. 79, 462-464 (1980). MSC: 53B35 53B20 53C25 53A55 PDFBibTeX XMLCite \textit{D. L. Johnson}, Proc. Am. Math. Soc. 79, 462--464 (1980; Zbl 0406.53022) Full Text: DOI