On the AC-contact Bochner curvature tensor field on almost cosymplectic manifolds.
Endo, Hiroshi (1994)
Publications de l'Institut Mathématique. Nouvelle Série
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Displaying similar documents to “Relating algebraic properties of the curvature tensor to geometry.”
On the AC-contact Bochner curvature tensor field on almost cosymplectic manifolds.
On the concircular curvature tensor of a -manifold.
Tripathi, Mukut Mani, Kim, Jeong-Sik (2004)
Balkan Journal of Geometry and its Applications (BJGA)
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Sasakian manifolds with vanishing contact Bochner curvature tensor and constant scalar curvature
Toshihiko Ikawa, Masahiro Kon (1977)
Colloquium Mathematicae
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On fibred Sasakian spaces with vanishing contact Bochner curvature tensor
Kazuhiko Takano (1993)
Colloquium Mathematicae
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Curvature tensors in dimension four which do not belong to any curvature homogeneous space
Oldřich Kowalski, Friedbert Prüfer (1994)
Archivum Mathematicum
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A six-parameter family is constructed of (algebraic) Riemannian curvature tensors in dimension four which do not belong to any curvature homogeneous space. Also a general method is given for a possible extension of this result.
Brackets and curvature. (Corchete y curvatura.)
Di Scala, Antonio J. (2005)
Revista Colombiana de Matemáticas
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Surfaces with non-zero normal curvature tensor
Antonio Carlos Asperti, Dirk Ferus, Lucio Rodriguez (1982)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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Studiamo la topologia differenziale e la geometria delle superfici compatte con curvatura normale non-nulla in spazio della curvatura costante.
Extended Derdziński-Shen theorem for curvature tensors
Carlo Alberto Mantica, Luca Guido Molinari (2012)
Colloquium Mathematicae
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We extend a remarkable theorem of Derdziński and Shen, on the restrictions imposed on the Riemann tensor by the existence of a nontrivial Codazzi tensor. We show that the Codazzi equation can be replaced by a more general algebraic condition. The resulting extension applies both to the Riemann tensor and to generalized curvature tensors.
Compact manifolds of nonnegative isotropic curvature and pure curvature tensor.
Dussan, Martha, Noronha, Maria Helena (2005)
Balkan Journal of Geometry and its Applications (BJGA)
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Remarks on algebraic concomitants of the Riemann-Christoffel curvature tensor in a three-dimensional space
S. Topa (1972)
Annales Polonici Mathematici
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The f-sectional curvature of f-Kaehlerian manifolds
Barbara Opozda (1983)
Annales Polonici Mathematici
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Curvature contents of geometric spaces.
Lohkamp, Joachim (1998)
Documenta Mathematica
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On some class of pseudosymmetric warped products
Ryszard Deszcz, Dorota Kowalczyk (2003)
Colloquium Mathematicae
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We present curvature properties of pseudosymmetry type of some warped products of semi-Riemannian spaces of constant curvature.
On continuous mappings between non-negatively and non-positively curved manifolds.
Paweł Grzegorz Walczak (1984)
Banach Center Publications
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Complex IP pseudo-Riemannian algebraic curvature tensors
Peter B. Gilkey, Raina Ivanova (2002)
Banach Center Publications
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A pinching theorem on complete submanifolds with parallel mean curvature vectors
Ziqi Sun (2003)
Colloquium Mathematicae
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Let M be an n-dimensional complete immersed submanifold with parallel mean curvature vectors in an (n+p)-dimensional Riemannian manifold N of constant curvature c > 0. Denote the square of length and the length of the trace of the second fundamental tensor of M by S and H, respectively. We prove that if S ≤ 1/(n-1) H² + 2c, n ≥ 4, or S ≤ 1/2 H² + min(2,(3p-3)/(2p-3))c, n = 3, then M is umbilical. This result generalizes the...