Results 21 to 30 of about 1,358 (218)
Galaxies, 2020 Higher dimensional theories, wherein our four dimensional universe is immersed into a bulk ambient, have received much attention recently, and the directions of investigation had, as far as we can discern, all followed the ordinary Euclidean hypersurface
Fan Zhang
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A Carleman inequality on product manifolds and applications to rigidity problems
Advanced Nonlinear Studies, 2023 In this article, we prove a Carleman inequality on a product manifold M×RM\times {\mathbb{R}}. As applications, we prove that (1) a periodic harmonic function on R2{{\mathbb{R}}}^{2} that decays faster than all exponential rate in one direction must be ...
Sun Ao
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$F$-stability of $f$-minimal hypersurface [PDF]
Proceedings of the American Mathematical Society, 2015 Summary: In this paper we study the classification of the \( f\)-minimal hypersurface immersed in the manifold \( M^{n}\times\mathbb R\), where \( (M^{n}, g)\) is an Einstein manifold with positive Ricci curvature. By using the \( F\) functional and \( F\)-stability which were introduced by Huisken and Colding-Minicozzi respectively, we prove that ...
Sheng, Weimin, Yu, Haobin
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A Note on Minimal Translation Graphs in Euclidean Space
Mathematics, 2019 In this note, we give a characterization of a class of minimal translation graphs generated by planar curves. Precisely, we prove that a hypersurface that can be written as the sum of n planar curves is either a hyperplane or a cylinder on the ...
Dan Yang, Jingjing Zhang, Yu Fu
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Calibrated entanglement entropy
Journal of High Energy Physics, 2017 The Ryu-Takayanagi prescription reduces the problem of calculating entanglement entropy in CFTs to the determination of minimal surfaces in a dual anti-de Sitter geometry.
I. Bakhmatov +4 more
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Journal of Inequalities and Applications, 2018 Given a null hypersurface of a Lorentzian manifold, we isometrically immerse a null hypersurface equipped with the Riemannian metric (induced on it by the rigging) into a Riemannian manifold suitably constructed on the Lorentzian manifold.
Karimumuryango Ménédore
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A worldsheet approach to 𝒩 = 1 heterotic flux backgrounds
Journal of High Energy Physics, 2023 Heterotic backgrounds with torsion preserving minimal supersymmetry in four dimensions can be obtained as orbifolds of principal T 2 bundles over K3. We consider a worldsheet description of these backgrounds as gauged linear sigma-models (GLSMs) with (0,
Dan Israël, Yann Proto
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Systolic Inequalities and Minimal Hypersurfaces [PDF]
Geometric and Functional Analysis, 2010 We give a short proof of the systolic inequality for the n-dimensional torus. The proof uses minimal hypersurfaces. It is based on the Schoen-Yau proof that an n-dimensional torus admits no metric of positive scalar curvature.
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Min–max minimal hypersurfaces with obstacle
Calculus of Variations and Partial Differential Equations, 2022 We study min-max theory for area functional among hypersurfaces constrained in a smooth manifold with boundary. A Schoen-Simon-type regularity result is proved for integral varifolds which satisfy a variational inequality and restrict to a stable minimal hypersurface in the interior. Based on this, we show that for any admissible family of sweepouts $
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Hyperbolic Unfoldings of Minimal Hypersurfaces [PDF]
Analysis and Geometry in Metric Spaces, 2018 AbstractWe study the intrinsic geometry of area minimizing hypersurfaces from a new point of view by relating this subject to quasiconformal geometry. Namely, for any such hypersurface H we define and construct a so-called S-structure. This new and natural concept reveals some unexpected geometric and analytic properties of H and its singularity set Ʃ.
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