Results 21 to 30 of about 20,212 (153)
Global pinching theorems for minimal submanifolds in spheres [PDF]
Colloquium Mathematicum, 2003 The author proves some rigidity theorems. The framework is a compact submanifold with parallel mean curvature vector embedded in the unit sphere. Sobolev inequalities of P. Li are used as a tool to get estimates for the norms of certain tensors related to the second fundamental form of the compact submanifold conditions for the latter to be a minimal ...
openaire +1 more source
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
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
, 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
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
core +1 more source
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
core +1 more source
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We study eigenvalue problems for the de Rham complex on varying three‐dimensional domains. Our analysis includes the Helmholtz equation as well as the Maxwell system with mixed boundary conditions and non‐constant coefficients. We provide Hadamard‐type formulas for the shape derivatives under weak regularity assumptions on the domain and its ...
Pier Domenico Lamberti +2 more
wiley +1 more source
Calibrated Geometries and Non Perturbative Superpotentials in M-Theory [PDF]
, 2000 We consider non perturbative effects in M-theory compactifications on a seven-manifold of G_2 holonomy arising from membranes wrapped on supersymmetric three-cycles. When membranes are wrapped on associative submanifolds they induce a superpotential that
Hernandez, Rafael
core +3 more sources