Relating algebraic properties of the curvature tensor to geometry.

Gilkey, Peter B.

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.

Endo, Hiroshi (1994)

Publications de l'Institut Mathématique. Nouvelle Série

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On the concircular curvature tensor of a $(κ, μ)$ -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.