Results 31 to 40 of about 20,148 (151)
A note on the uniqueness of global static decompositions [PDF]
, 2007 We discuss when static Killing vector fields are standard, that is, leading to a global orthogonal splitting of the spacetime. We prove that such an orthogonal splitting is unique whenever the natural space is compact. This is carried out by proving that
Bartnik R +10 more
core +1 more source
Minimal area submanifolds in AdS x compact [PDF]
, 2014 We describe the asymptotic behavior of minimal area submanifolds in product spacetimes of an asymptotically hyperbolic space times a compact internal manifold.
Graham, C. Robin, Karch, Andreas
core +2 more sources
Normal Anti-Invariant Submanifolds of Paraquaternionic Kähler Manifolds [PDF]
Surveys in Mathematics and its Applications, 2006 We introduce normal anti-invariant submanifolds of paraquaternionic Kähler manifolds and study the geometric structures induced on them. We obtain necessary and sufficient conditions for the integrability of the distributions defined on a normal anti ...
Novac-Claudiu Chiriac
doaj
Isoparametric and Dupin Hypersurfaces [PDF]
, 2008 A hypersurface $M^{n-1}$ in a real space-form ${\bf R}^n$, $S^n$ or $H^n$ is isoparametric if it has constant principal curvatures. For ${\bf R}^n$ and $H^n$, the classification of isoparametric hypersurfaces is complete and relatively simple, but as ...
Cecil, Thomas E.
core +7 more sources
On totally geodesic submanifolds in the Jacobian locus [PDF]
, 2015 We study submanifolds of A_g that are totally geodesic for the locally symmetric metric and which are contained in the closure of the Jacobian locus but not in its boundary.
Alessandro Ghigi +6 more
core +4 more sources
, 2007 Let U be a real form of a complex semisimple Lie group, and tau, sigma, a pair of commuting involutions on U. This data corresponds to a reflective submanifold of a symmetric space, U/K.
Ablowitz +33 more
core +2 more sources
Submanifold of a Globally Para framed Metric Manifold
Journal of the Tensor Society, 2007 In this paper we have defined various kinds of Hx −connexions and stated and proved many theorems related to them. Some useful results have been derived in the form of corollaries. We have also generalized Gauss Characteristic and Mainardi-Codazzi equations and obtained the equations in the hypersurface therein.
Savita Patni, S B Pandey
openaire +1 more source
Mean Curvature Flows of Lagrangian Submanifolds with Convex Potentials
, 2002 This article studies the mean curvature flow of Lagrangian submanifolds. In particular, we prove the following global existence and convergence theorem: if the potential function of a Lagrangian graph in T^{2n} is convex, then the flow exists for all ...
Smoczyk, Knut, Wang, Mu-Tao
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New examples of Willmore submanifolds in the unit sphere via isoparametric functions,II
, 2012 This paper is a continuation of a paper with the same title of the last two authors. In the first part of the present paper, we give a unified geometric proof that both focal submanifolds of every isoparametric hypersurface in spheres with four distinct ...
B. Solomon +14 more
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Superintegrable Hamiltonian systems with noncompact invariant submanifolds. Kepler system
, 2010 The Mishchenko-Fomenko theorem on superintegrable Hamiltonian systems is generalized to superintegrable Hamiltonian systems with noncompact invariant submanifolds.
Dazord P. +4 more
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