Remarks on symplectic sectional curvature
Differential Geometry and its Applications, 2017 In [11], I. M. Gelfand, V. Retakh, and M. Shubin defined the symplectic sectional curvature of a torsion-free connection preserving a symplectic form. The present article defines the corresponding notion of constant symplectic sectional curvature and characterizes this notion in terms of the curvature tensor of the symplectic connection and its ...
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CR-submanifolds of a locally conformal Kaehler space form
International Journal of Mathematics and Mathematical Sciences, 1994 (Bejancu [1,2]) The purpose of this paper is to continue the study of CR-submanifolds, and in particular of those of a locally conformal Kaehler space form (Matsumoto [3]).
M. Hasan Shahid
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Lorentzian Beltrami-Euler formula and generalized Lorentzian Lamarle formila in R_1^n
Le Matematiche, 2009 In this paper, the sectional curvature of non-degenerate tangent sections of time-like ruled surface with the central ruled surface in n-dimensional Minkowski space, R_1^n is studied. The relationship between normal sectional curvature and the principal
Soley Ersoy, Murat Tosun
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Remarks on sectional curvature of an indefinite metric [PDF]
, 1983 Katsumi Nomizu
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On totally umbilical CR-submanifolds of a Kaehler manifold
International Journal of Mathematics and Mathematical Sciences, 1993 Let M be a compact 3-dimensional totally umbilical CR-submanifold of a Kaehler manifold of positive holomorphic sectional curvature. We prove that if the length of the mean curvature vector of M does not vanish, then M is either diffeomorphic to S3 or ...
M. A. Bashir
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Compact Hermitian surfaces of pointwise constant holomorphic sectional curvature [PDF]
, 1995 Kouei Sekigawa, Takashi Koda
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Conharmonically flat and conharmonically symmetric warped product manifolds
AIP AdvancesThis article presents characterizations of warped product manifolds based on the flatness and symmetry of the conharmonic curvature tensor. It is proved that when a warped product manifold is conharmonically flat, both the base and fiber manifolds ...
Abdallah Abdelhameed Syied +2 more
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Lorentzian affine hyperspheres with constant affine sectional curvature [PDF]
, 1999 Marcus Kriele, Luc Vrancken
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A correction on: "Some nondiffeomorphic homeomorphic homogeneous 7-manifolds with positive sectional curvature" [PDF]
, 1998 Matthias Kreck, Stephan Stolz
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Algebraic Properties of Curvature Operators in Lorentzian Manifolds with Large Isometry Groups
Symmetry, Integrability and Geometry: Methods and Applications, 2010 Together with spaces of constant sectional curvature and products of a real line with a manifold of constant curvature, the socalled Egorov spaces and ε-spaces exhaust the class of n-dimensional Lorentzian manifolds admitting a group of isometries of ...
Giovanni Calvaruso, Eduardo García-Río
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