Results 21 to 30 of about 26,676 (164)
A Fourier transform for sheaves on Lagrangian families of real tori
, 2001 We systematically develop a transform of the Fourier-Mukai type for sheaves on symplectic manifolds $X$ of any dimension fibred in Lagrangian tori. One obtains a bijective correspondence between unitary local systems supported on Lagrangian submanifolds ...
Aspinwall +12 more
core +3 more sources
Shape operator of an $ (n-1) $-dimensional distribution on an $ n $-dimensional manifold and their classification [PDF]
ریاضی و جامعهThis paper aims to study of shape operator of an $ (n-1) $-dimensional distribution on an $ n $-dimensional smooth manifold. In this study firstly we state formulae for the shape operator and its symmetric and anti-symmetric components and in ...
Mehran Aminian, Mehran Namjoo
doaj +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
Codimension two marginally trapped submanifolds in Robertson-Walker spaces
, 2015 We give a local characterization of codimension two submanifolds which are marginally trapped in Robertson-Walker spaces, in terms of an algebraic equation to be satisfied by the height function.
Anciaux, Henri, Cipriani, Nastassja
core +1 more source
Characterizations of Transversal Lightlike Submanifolds in Indefinite Golden Statistical Geometry
MathematicsWe investigate transversal and radical transversal lightlike submanifolds (TLSs) of indefinite golden statistical manifolds (IGSMs). Using the dual affine connections associated with statistical structures, we obtain decomposition formulas and derive ...
Md Aquib
doaj +1 more source
Deformations of coisotropic submanifolds and strong homotopy Lie algebroids
, 2005 In this paper, we study deformations of coisotropic submanifolds in a symplectic manifold. First we derive the equation that governs $C^\infty$ deformations of coisotropic submanifolds and define the corresponding $C^\infty$-moduli space of coisotropic ...
Alexandrov +18 more
core +1 more source
Solving Local Equivalence Problems with the Equivariant Moving Frame Method
Symmetry, Integrability and Geometry: Methods and Applications, 2013 Given a Lie pseudo-group action, an equivariant moving frame exists in the neighborhood of a submanifold jet provided the action is free and regular. For local equivalence problems the freeness requirement cannot always be satisfied and in this paper we ...
Francis Valiquette
doaj +1 more source
Expected local topology of random complex submanifolds
Journal of Algebraic Geometry, 2023 Let n ≥ 2 n\geq 2 and r ∈ { 1 , ⋯ , n − 1 } r\in \{1, \cdots , n-1\} be integers, M M be a compact smooth Kähler manifold of complex dimension n n , E E be a holomorphic
openaire +2 more sources
Mathematical Support to Braneworld Theory
, 2008 The braneworld theory appear with the purpose of solving the problem of the hierarchy of the fundamental interactions. The perspectives of the theory emerge as a new physics, for example, deviation of the law of Newton's gravity. One of the principles of
Boothby W. M. +4 more
core +1 more source
Degree theory for 4‐dimensional asymptotically conical gradient expanding solitons
Communications on Pure and Applied Mathematics, Volume 79, Issue 5, Page 1151-1298, May 2026.Abstract We develop a new degree theory for 4‐dimensional, asymptotically conical gradient expanding solitons. Our theory implies the existence of gradient expanding solitons that are asymptotic to any given cone over S3$S^3$ with non‐negative scalar curvature. We also obtain a similar existence result for cones whose link is diffeomorphic to S3/Γ$S^3/\
Richard H. Bamler, Eric Chen
wiley +1 more source