Results 11 to 20 of about 20,148 (151)
Global pinching theorems of submanifolds in spheres [PDF]
International Journal of Mathematics and Mathematical Sciences, 2002 Let M be a compact embedded submanifold with parallel mean curvature vector and positive Ricci curvature in the unit sphere S n+p(n≥2 ,p≥1). By using the Sobolev inequalities of P.
Kairen Cai
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Some aspects of the global geometry of entire space-like submanifolds [PDF]
Results in Mathematics, 2001 We prove some Bernstein theorems for entire space-like submanifolds in pseudo-Euclidean spaces and, as a corollary, we obtain a new proof of the Calabi-Pogorelov theorem on global solutions of Monge-Ampere ...
Jost, Juergen, Xin, Yuan-Long
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Global action-angle coordinates for completely integrable systems with noncompact invariant submanifolds [PDF]
Journal of Mathematical Physics, 2007 The obstruction to the existence of global action-angle coordinates of Abelian and noncommutative (non-Abelian) completely integrable systems with compact invariant submanifolds has been studied.
Arnold V. +11 more
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Singularities of equidistants and global centre symmetry sets of Lagrangian submanifolds [PDF]
Geometriae Dedicata, 2012 We define the Global Centre Symmetry set (GCS) of a smooth closed m-dimensional submanifold M of R^n, $n \leq 2m$, which is an affinely invariant generalization of the centre of a k-sphere in R^{k+1}. The GCS includes both the centre symmetry set defined
AM Ozorio de Almeida +13 more
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Zhejiang Daxue xuebao. Lixue ban, 2000 本文利用对复射影空间中紧致极小子流形的第二基本形式长度平方进行积分形式的估计方法，证明了复射影空间中紧致复子流形和紧致全实极小子流形的整体Pinching定理。
WANGYi-ling(王一令)
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D-Branes in Para-Hermitian Geometries
Universe, 2022 We introduce T-duality invariant versions of D-branes in doubled geometry using a global covariant framework based on para-Hermitian geometry and metric algebroids.
Vincenzo Emilio Marotta +1 more
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Physical Review Research, 2021 With a view toward a fracton theory in condensed matter, we introduce a higher-moment polynomial degree-p global symmetry, acting on complex scalar/vector/tensor fields (e.g., ordinary or vector global symmetry for p=0 and p=1 respectively).
Juven Wang, Kai Xu, Shing-Tung Yau
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Global Conformal Invariants of Submanifolds [PDF]
Annales de l'Institut Fourier, 2018 The goal of the present paper is to investigate the algebraic structure of global conformal invariants of submanifolds. These are defined to be conformally invariant integrals of geometric scalars of the tangent and normal bundle. A famous example of a global conformal invariant is the Willmore energy of a surface.
Mondino, A, Nguyen, HT
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On complete trapped submanifolds in globally hyperbolic spacetimes
Journal of Physics A: Mathematical and Theoretical, 2023 Abstract The aim of this manuscript is to obtain rigidity and non-existence results for parabolic spacelike submanifolds with causal mean curvature vector field in orthogonally splitted spacetimes, and in particular, in globally hyperbolic spacetimes.
Alma L Albujer +2 more
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SEMIGLOBAL EXTENSION OF MAXIMALLY COMPLEX SUBMANIFOLDS [PDF]
Bulletin of the Australian Mathematical Society, 2011 AbstractLet A be a domain of the boundary of a (weakly) pseudoconvex domain Ω of ℂn and M a smooth, closed, maximally complex submanifold of A. We find a subdomain E of ℂn, depending only on Ω and A, and a complex variety W⊂E such that bW=M in E. Moreover, a generalization to analytic sets of depth at least 4 is given.
G. Della Sala, SARACCO, Alberto
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