Results 1 to 10 of about 295 (133)
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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Global pinching theorems for even dimensional minimal submanifolds in the unit spheres
Mathematische Zeitschrift, 1989 The following global pinching theorem for minimal submanifolds is proved: Let \(M^{2n}\) be a minimal submanifold in the unit sphere with Euler characteristic less than or equal to two, then there exists a universal constant \(c(n)>0\), such that if \(\int_{M}S ...
Lin, Jun-min, Xia, Chang-yu
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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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Electrostatics and self-force in asymptotically flat cylindrical wormholes
European Physical Journal C: Particles and Fields, 2020 The problem of the electrostatics in conical wormholes is revisited, now improving the background geometries with asymptotical flatness. The electric self-force on a point charge placed at different regions in the spacetime of a conical thin-shell ...
E. Rubín de Celis, C. Simeone
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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 equations.
Jost, J., Xin, Y. L.
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