Sectional Curvature
On the sectional curvature of lightlike submanifolds
... In this paper, we extend this modified sectional curvature from Lorentzian manifolds to semi-Riemannian manifolds under the name of ’bounded sectional curvature’. We in- troduce some special ...
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The characterization of moebius sectional curvature of submanifolds on unit Sphere
... Moebius sectional curvature pinching theorems, which give the characterizations of Clifford tori and Veronese submanifolds by the Moebius invariants ...
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13. Null Sectional curvature pinching for Cr-Lightlike submanifolds of semi-Riemannian manifolds
... particular, curvature pinching rela- tions are of substantial interest as they give the bounds for the ...to sectional curvature in Riemannian case, Duggal [2] de…ned the null sectional ...
8
On Closed Six-Manifolds Admitting Metrics With Positive Sectional Curvature And Non-Abelian Symmetry
... We study the topology of closed, simply-connected, 6-dimensional Riemannian manifolds of positive sectional curvature which admit isometric actions by SU(2) or SO(3). We show that their Euler characteristic ...
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On Sectional Curvatures of (ε) Sasakian Manifolds
... Riemannian curvature tensor of ( )-Sasakian ...φ-sectional curvature, totally real sectional curvature, and totally real bisectional ...
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Locally Conformal Almost Cosymplectic Manifold of Φ-holomorphic Sectional Conharmonic Curvature Tensor
... and at the same time Nagaich [14] showed a generalized Tanno’s results for indefinite almost Hermitian manifold. In 2009, Rani et al. [17] considered similar condition of [19] to another distinct class of almost contact ...
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Isotropic Lagrangian Submanifolds in Complex Space Forms
... holomorphic sectional curvature of an almost Hermitian manifold is the restriction of the sectional curvature to holomorphic planes (the planes that are spanned by U and JU ) in the tangent ...
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On a Semi Symmetric Metric Connection With a Special Condition On a Riemannian Manifold
... the curvature tensor of this manifold ...quasi-constant curvature of this ...the sectional curvature of a Riemannian manifold with a semi symmetric metric connection whose the special torsion ...
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On the existence of harmonic maps
... the sectional curvature R' of M* is negative or zero, a homotopy clans of maps from M to M' always contains a ’ ¿»-harmonic map, since it is harmonic for another g ...
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Ricci Flow On Cohomogeneity One Manifolds
... In terms of weakening the isometry assumption, the natural next step is to con- sider the Ricci flow on cohomogeneity one manifolds. A cohomogeneity one manifold consists of a Riemannian manifold (M, g) along with an ...
84
5. On weak symmetries of $\delta-$ Lorentzian $\beta-$ Kenmotsu manifold
... ξ-sectional curvature is nonzero everywhere and hence such a structure ...ξ-sectional curvature, the sum of the associated 1-forms is non-vanishing everywhere and consequently such a structure ...
9
A note on Chen's basic equality for submanifolds in a Sasakian space form
... In this note, we prove the following obstruction to the Chen’s basic equality. Theorem 1.2 . Let M be an n-dimensional Riemannian manifold isometri- cally immersed in an m-dimensional Sasakian space form M(c) ˜ of a ...
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Real hypersurfaces of type A in quarternionic projective space
... Throughout this paper M will denote a connected real hypersurface of the quaternionic projective space QP",rn>3, endowed with the metric g of constant quaternionic sectional curvature 4.[r] ...
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Quaternion CR submanifolds of a quaternion Kaehler manifold
... the sectional curvature of a quaternion plane is called a quaternion sectional cur- ...quaternion sectional curvature is equal to a constant c at any point of the ...The ...
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Almost Hermitian Manifold with Flat Bochner Tensor
... Bochner curvature tensor has been studied by many ...scalar curvature tensor with flat Bochner tensor is local ...scalar curvature tensor with flat Bochner tensor is local-isometric to the product of ...
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Fundamentals of Riemannian geometry and its evolution : a thesis presented in partial fulfilment of the requirements for the degree of Master of Science in Mathematics at Massey University, Palmerston North, New Zealand
... We can now compute the sectional curvature of our three families of model spaces of Riemannian geometry:- Euclidean space, spheres, and hyperbolic spaces... 5.4.2 Euclidean space The sim[r] ...
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A graph-spectral approach to shape-from-shading
... the sectional curvature between different image locations and penalize large changes in surface normal ...of curvature-dependent weights and that can be used for the purposes of height ...
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Mixed foliate CR submanifolds in a complex hyperbolic space are non proper
... For simplicity, we assume that is the complex m-dimensional complex Hm Let M be a hyperbolic space with constant holomorphic sectional curvature -4.. mixed foliate CH-submanifold of Hm.[r] ...
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On W7- Curvature Tensor of Generalized Sasakian-Space-Forms
... the curvature of a Riemannian manifold (M; g) plays a fundamental role as well known, the sectional curvature of a manifold determine the curvature tensor R ...constant sectional ...
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On Chen invariants and inequalities in quaternionic geometry
... quaternionic sectional curvature c, and Chen’s equality was interpreted in terms of eigenvalues and eigenspaces of the Weingarten operators of the ...
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