Results 1 to 10 of about 42,383 (261)
Abelianized Structures in Spherically Symmetric Hypersurface Deformations
Universe, 2022 In canonical gravity, general covariance is implemented by hypersurface-deformation symmetries on thephase space. The different versions of hypersurface deformations required for full covariance have complicated interplays with one another, governed by ...
Martin Bojowald
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Polymer brush hypersurface photolithography
Nature Communications, 2020 Various lithographic approaches are being explored to create polymer brush patterns with micrometer-scale feature dimensions. Here the authors demonstrate a printing approach which allows independent control of the monomer composition and feature height ...
Carlos Carbonell +7 more
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The Wafold: Curvature-Driven Termination and Dimensional Compression in Black Holes [PDF]
EntropyThis work explores a geometric description of black holes in which spacetime terminates on a curvature-triggered hypersurface rather than extending to an interior singularity.
Javier Viaña
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The Du Bois complex of a hypersurface and the minimal exponent [PDF]
Duke mathematical journal, 2021 We study the Du Bois complex $\underline{\Omega}_Z^\bullet$ of a hypersurface $Z$ in a smooth complex algebraic variety in terms its minimal exponent $\widetilde{\alpha}(Z)$.
M. Mustaţă +3 more
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Hypersurface Data: General Properties and Birkhoff Theorem in Spherical Symmetry [PDF]
Mediterranean Journal of Mathematics, 2020 The notions of (metric) hypersurface data were introduced in Mars (Gen Relativ Gravit 45:2175–2221, 2013) as a tool to analyze, from an abstract viewpoint, hypersurfaces of arbitrary signature in pseudo-Riemannian manifolds.
M. Mars
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Generalized Helical Hypersurface with Space-like Axis in Minkowski 5-Space
Universe, 2023 We introduce the generalized helical hypersurface having a space-like axis in five-dimensional Minkowski space. We compute the first and second fundamental form matrices, Gauss map, and shape operator matrix of the hypersurface.
Erhan Güler
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A note on η-quasi-umbilical hypersurfaces in almost Hermitian manifolds
Дифференциальная геометрия многообразий фигур, 2023 In the present note, we consider the introduced by Lidia Vasil’evna Stepanova notion of an -quasi-umbilical hypersurface in an almost Hermitian manifold.
M. B. Banaru
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Positive scalar curvature and minimal hypersurface singularities [PDF]
Surveys in Differential Geometry, 2017 In this paper we develop methods to extend the minimal hypersurface approach to positive scalar curvature problems to all dimensions. This includes a proof of the positive mass theorem in all dimensions without a spin assumption.
R. Schoen, S. Yau
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Realizing Wireless Communication Through Software-Defined HyperSurface Environments [PDF]
IEEE International Symposium on a World of Wireless, Mobile and Multimedia Networks, 2018 Wireless communication environments are unaware of the ongoing data exchange efforts within them. Moreover, their effect on the communication quality is intractable in all but the simplest cases.
C. Liaskos +5 more
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Hodge ideals and spectrum of isolated hypersurface singularities [PDF]
Annales de l'Institut Fourier, 2019 We introduce Hodge ideal spectrum for isolated hypersurface singularities to see the difference between the Hodge ideals and the microlocal $V$-filtration modulo the Jacobian ideal.
Seung-Jo Jung +3 more
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