Nikolayevsky, Y.; Rakić, Z. The duality principle for Osserman algebraic curvature tensors. (English) Zbl 1341.53043 Linear Algebra Appl. 504, 574-580 (2016). Reviewer: Laurian Ioan Piscoran (Baia Mare) MSC: 53B30 15A69 53B20 53C25 PDFBibTeX XMLCite \textit{Y. Nikolayevsky} and \textit{Z. Rakić}, Linear Algebra Appl. 504, 574--580 (2016; Zbl 1341.53043) Full Text: DOI arXiv
Andrejić, Vladica Quasi-special Osserman manifolds. (English) Zbl 1474.53093 Filomat 28, No. 3, 623-633 (2014). MSC: 53B30 PDFBibTeX XMLCite \textit{V. Andrejić}, Filomat 28, No. 3, 623--633 (2014; Zbl 1474.53093) Full Text: DOI
Atindogbe, Cyriaque; Lungiambudila, Oscar; Tossa, Joël Lightlike Osserman submanifolds of semi-Riemannian manifolds. (English) Zbl 1268.53063 Afr. Mat. 22, No. 2, 129-151 (2011). MSC: 53C40 53B25 53C25 53C50 PDFBibTeX XMLCite \textit{C. Atindogbe} et al., Afr. Mat. 22, No. 2, 129--151 (2011; Zbl 1268.53063) Full Text: DOI arXiv
Andrejić, Vladica Strong duality principle for four-dimensional Osserman manifolds. (English) Zbl 1299.53046 Kragujevac J. Math. 33, 17-28 (2010). MSC: 53B30 PDFBibTeX XMLCite \textit{V. Andrejić}, Kragujevac J. Math. 33, 17--28 (2010; Zbl 1299.53046)
Brozos-Vázquez, Miguel; García-Río, Eduardo; Gilkey, Peter; Nikčević, Stana; Vázquez-Lorenzo, Ramón The geometry of Walker manifolds. (English) Zbl 1206.53039 Synthesis Lectures on Mathematics and Statistics 5. San Rafael, CA: Morgan & Claypool Publishers (ISBN 978-1-59829-819-2/pbk; 978-1-59829-820-8/ebook). xvii, 159 p. (2009). Reviewer: Liviu Ornea (Bucureşti) MSC: 53C20 53C50 53C15 PDFBibTeX XMLCite \textit{M. Brozos-Vázquez} et al., The geometry of Walker manifolds. San Rafael, CA: Morgan \& Claypool Publishers (2009; Zbl 1206.53039) Full Text: DOI
Blažić, Novica; Gilkey, Peter; Nikčević, Stana; Stavrov, Iva Curvature structure of self-dual 4-manifolds. (English) Zbl 1163.53010 Int. J. Geom. Methods Mod. Phys. 5, No. 7, 1191-1204 (2008). Reviewer: Włodzimierz Jelonek (Kraków) MSC: 53B20 53B30 PDFBibTeX XMLCite \textit{N. Blažić} et al., Int. J. Geom. Methods Mod. Phys. 5, No. 7, 1191--1204 (2008; Zbl 1163.53010) Full Text: DOI arXiv
Derdzinski, Andrzej Connections with skew-symmetric Ricci tensor on surfaces. (English) Zbl 1206.53018 Result. Math. 52, No. 3-4, 223-245 (2008). MSC: 53B05 53C05 53B30 PDFBibTeX XMLCite \textit{A. Derdzinski}, Result. Math. 52, No. 3--4, 223--245 (2008; Zbl 1206.53018) Full Text: DOI arXiv
Brozos-Vázquez, M.; Gilkey, Peter Complex Osserman algebraic curvature tensors and Clifford families. (English) Zbl 1158.53024 Houston J. Math. 34, No. 3, 677-702 (2008). Reviewer: Marian Hotloś (Wrocław) MSC: 53C20 PDFBibTeX XMLCite \textit{M. Brozos-Vázquez} and \textit{P. Gilkey}, Houston J. Math. 34, No. 3, 677--702 (2008; Zbl 1158.53024) Full Text: arXiv Link
Brozos-Vázquez, Miguel; Fiedler, Bernd; García-Río, Eduardo; Gilkey, Peter; Nikčević, Stana; Stanilov, Grozio; Tsankov, Yulian; Vázquez-Lorenzo, Ramón; Videv, Veselin Stanilov-Tsankov-Videv theory. (English) Zbl 1133.53013 SIGMA, Symmetry Integrability Geom. Methods Appl. 3, Paper 095, 13 p. (2007). MSC: 53B20 PDFBibTeX XMLCite \textit{M. Brozos-Vázquez} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 3, Paper 095, 13 p. (2007; Zbl 1133.53013) Full Text: DOI arXiv EuDML EMIS
Andrejić, V.; Rakić, Z. On the duality principle in pseudo-Riemannian Osserman manifolds. (English) Zbl 1407.53075 J. Geom. Phys. 57, No. 10, 2158-2166 (2007). MSC: 53C50 PDFBibTeX XMLCite \textit{V. Andrejić} and \textit{Z. Rakić}, J. Geom. Phys. 57, No. 10, 2158--2166 (2007; Zbl 1407.53075) Full Text: DOI
Brozos-Vázquez, Miguel; Gilkey, Peter Manifolds with commuting Jacobi operators. (English) Zbl 1125.53025 J. Geom. 86, No. 1-2, 21-30 (2006). Reviewer: Marian Hotloś (Wrocław) MSC: 53C20 53A07 PDFBibTeX XMLCite \textit{M. Brozos-Vázquez} and \textit{P. Gilkey}, J. Geom. 86, No. 1--2, 21--30 (2006; Zbl 1125.53025) Full Text: DOI arXiv
Blažić, N.; Gilkey, P.; Nikčević, S.; Simon, U. The spectral geometry of the Weyl conformal tensor. (English) Zbl 1091.53007 Opozda, Barbara (ed.) et al., PDEs, submanifolds and affine differential geometry. Proceedings of the conference and autumn school, Bȩdlewo, Poland, September 23–27, 2003. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Center Publications 69, 195-203 (2005). Reviewer: Iulia Hirică (Bucureşti) MSC: 53B20 PDFBibTeX XMLCite \textit{N. Blažić} et al., Banach Cent. Publ. 69, 195--203 (2005; Zbl 1091.53007) Full Text: arXiv
Gilkey, Peter B.; Ivanova, Raina Spacelike Jordan Osserman algebraic curvature tensors in the higher signature setting. (English) Zbl 1031.53037 Gil-Medrano, Olga (ed.) et al., Differential geometry. Proceedings of the international conference held in honour of the 60th birthday of A. M. Naveira, Valencia, Spain, July 8-14, 2001. Singapore: World Scientific. 179-186 (2002). Reviewer: Huafei Sun (Beijing) MSC: 53B20 53B30 PDFBibTeX XMLCite \textit{P. B. Gilkey} and \textit{R. Ivanova}, in: Differential geometry. Proceedings of the international conference held in honour of the 60th birthday of A. M. Naveira, Valencia, Spain, July 8--14, 2001. Singapore: World Scientific. 179--186 (2002; Zbl 1031.53037) Full Text: arXiv
García-Río, Eduardo; Kupeli, Demir N.; Vázquez-Lorenzo, Ramón Osserman manifolds in semi-Riemannian geometry. (English) Zbl 1005.53040 Lecture Notes in Mathematics. 1777. Berlin: Springer. xii, 166 p. (2002). Reviewer: Krishan Lal Duggal (Windsor/Ontario) MSC: 53C25 53-02 53C80 PDFBibTeX XMLCite \textit{E. García-Río} et al., Osserman manifolds in semi-Riemannian geometry. Berlin: Springer (2002; Zbl 1005.53040) Full Text: DOI Link
Gilkey, Peter; Ivanova, Raina The Jordan normal form of Osserman algebraic curvature tensors. (English) Zbl 0999.53014 Result. Math. 40, No. 1-4, 192-204 (2001). Reviewer: Eric Boeckx (Leuven) MSC: 53B20 53B30 PDFBibTeX XMLCite \textit{P. Gilkey} and \textit{R. Ivanova}, Result. Math. 40, No. 1--4, 192--204 (2001; Zbl 0999.53014) Full Text: DOI
Gilkey, Peter Algebraic curvature tensors which are \(p\)-Osserman. (English) Zbl 1031.53034 Differ. Geom. Appl. 14, No. 3, 297-311 (2001). Reviewer: Neculai Papaghiuc (Iaşi) MSC: 53B20 53A55 PDFBibTeX XMLCite \textit{P. Gilkey}, Differ. Geom. Appl. 14, No. 3, 297--311 (2001; Zbl 1031.53034) Full Text: DOI
Gilkey, Peter B. Relating algebraic properties of the curvature tensor to geometry. (English) Zbl 0952.53014 Novi Sad J. Math. 29, No. 3, 109-119 (1999). Reviewer: Novica Blažić (Beograd) MSC: 53B35 53B20 PDFBibTeX XMLCite \textit{P. B. Gilkey}, Novi Sad J. Math. 29, No. 3, 109--119 (1999; Zbl 0952.53014) Full Text: EuDML
Rakić, Zoran On duality principle in Osserman manifolds. (English) Zbl 0961.53020 Linear Algebra Appl. 296, No. 1-3, 183-189 (1999). MSC: 53C20 53C30 53B20 PDFBibTeX XMLCite \textit{Z. Rakić}, Linear Algebra Appl. 296, No. 1--3, 183--189 (1999; Zbl 0961.53020) Full Text: DOI
Gilkey, P.; Stanilov, G.; Videv, V. Pseudo Riemannian manifolds whose generalized Jacobi operator has constant characteristic polynomial. (English) Zbl 0906.53046 J. Geom. 62, No. 1-2, 144-153 (1998). Reviewer: E.García-Río (Santiago de Compostela) MSC: 53C50 53C55 PDFBibTeX XMLCite \textit{P. Gilkey} et al., J. Geom. 62, No. 1--2, 144--153 (1998; Zbl 0906.53046) Full Text: DOI
Gilkey, Peter B. Manifolds whose higher odd order curvature operators have constant eigenvalues at the basepoint. (English) Zbl 0739.53011 J. Geom. Anal. 2, No. 2, 151-155 (1992). MSC: 53B20 PDFBibTeX XMLCite \textit{P. B. Gilkey}, J. Geom. Anal. 2, No. 2, 151--155 (1992; Zbl 0739.53011) Full Text: DOI