Results 121 to 130 of about 2,699,199 (290)
Sub-Riemannian balls in CR Sasakian manifolds [PDF]
arXiv, 2011 We prove global estimates for the sub-Riemannian distance of CR Sasakian manifolds with non negative horizontal Webster-Tanaka Ricci curvature. In particular, in this setting, large sub-Riemannian balls are comparable to Riemannian balls.
arxiv
Zermelo Navigation Problem in Geometry
Naše More (Dubrovnik), 2018 One of the long standing problems in navigation is explained and the mathematical formulation using Riemannian and Finsler geometry is introduced. Randers norms and Randers metrics used for the description of the influence of the wind or of the current ...
Zdeněk Dušek
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A note on sigular time of mean curvature flow [PDF]
arXiv, 2008 We show that mean curvature flow of a compact submanifold in a complete Riemannian manifold cannot form singularity at time infinity if the ambient Riemannian manifold has bounded geometry and satisfies certain curvature and volume growth conditions .
arxiv
On a Piece of Hypersurface in a Riemannian Manifold with Mean Curvature Bounded away from Zero [PDF]
, 1967 Yoshie Katsurada
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Constant k-curvature hypersurfaces in Riemannian manifolds
Differential Geometry and its Applications, 2010 Rugang Ye proved the existence of a family of constant mean curvature hypersurfaces in an $m+1$-dimensional Riemannian manifold $(M^{m+1},g)$, which concentrate at a point $p_0$ (which is required to be a nondegenerate critical point of the scalar curvature), moreover he proved that this family constitute a foliation of a neighborhood of $p_0$. In this
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Korpelevich Method for Solving Bilevel Variational Inequalities on Riemannian Manifolds
AxiomsThe bilevel variational inequality on Riemannian manifolds refers to a mathematical problem involving the interaction between two levels of optimization, where one level is constrained by the other level.
Jiagen Liao, Zhongping Wan
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Remark about scalar curvature and Riemannian submersions [PDF]
arXiv, 2005 We consider modified scalar curvature functions for Riemannian manifolds equipped with smooth measures. Given a Riemannian submersion whose fiber transport is measure-preserving up to constants, we show that the modified scalar curvature of the base is bounded below in terms of the scalar curvatures of the total space and fibers. We give an application
arxiv
Einstein like -para Sasakian manifolds
Kuwait Journal of Science, 2013 Einstein like -para Sasakian manifolds are introduced. For an -para Sasakian manifold to be Einstein like, a necessary and sufficient condition in terms of its curvature tensor is obtained.
SADIK KELES +3 more
doaj
On some sub-Riemannian objects in hypersurfaces of sub-Riemannian manifolds [PDF]
Bull.Austral.Math.Soc.,Vol.70(2004),177-198, 2007 We study some sub-Riemannian objects (such as horizontal connectivity, horizontal connection, horizontal tangent plane, horizontal mean curvature) in hypersurfaces of sub-Riemannian manifolds. We prove that if a connected hypersurface in a contact manifold of dimension more than three is noncharacteristic or with isolated characteristic points, then ...
arxiv
On Killing tensors in Riemannian manifolds of positive curvature operator [PDF]
, 1976 Shun-ichi Tachibana
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