Results 41 to 50 of about 84,048 (226)
Singular Tropical Hypersurfaces [PDF]
Discrete & Computational Geometry, 2011 Several improvements.
Dickenstein, Alicia +1 more
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Euclidean hypersurfaces isometric to spheres
AIMS MathematicsGiven an immersed hypersurface $ M^{n} $ in the Euclidean space $ E^{n+1} $, the tangential component $\boldsymbol{\omega }$ of the position vector field of the hypersurface is called the basic vector field, and the smooth function of the normal ...
Yanlin Li +3 more
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Osculating hypersurfaces of higher order
Lietuvos Matematikos Rinkinys, 2011 Oscurating surfaces of second order have been studied in classical differential geometry [1]. In this article we generalize this notion to osculating hyper-surfaces of higher order of hyper-surfaces in Euclidean n-space.
Kazimieras Navickis
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Skeleta of affine hypersurfaces [PDF]
Geometry & Topology, 2014 A smooth affine hypersurface Z of complex dimension n is homotopy equivalent to an n-dimensional cell complex. Given a defining polynomial f for Z as well as a regular triangulation of its Newton polytope, we provide a purely combinatorial construction of a compact topological space S as a union of components of real dimension n, and prove that S ...
Ruddat H. +3 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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Global and microlocal aspects of Dirac operators: Propagators and Hadamard states
Mathematische Nachrichten, EarlyView.Abstract We propose a geometric approach to construct the Cauchy evolution operator for the Lorentzian Dirac operator on Cauchy‐compact globally hyperbolic 4‐manifolds. We realize the Cauchy evolution operator as the sum of two invariantly defined oscillatory integrals—the positive and negative Dirac propagators—global in space and in time, with ...
Matteo Capoferri, Simone Murro
wiley +1 more source
Holomorphic field theories and higher algebra
Bulletin of the London Mathematical Society, EarlyView.Abstract Aimed at complex geometers and representation theorists, this survey explores higher dimensional analogs of the rich interplay between Riemann surfaces, Virasoro and Kac‐Moody Lie algebras, and conformal blocks. We introduce a panoply of examples from physics — field theories that are holomorphic in nature, such as holomorphic Chern‐Simons ...
Owen Gwilliam, Brian R. Williams
wiley +1 more source
Convexity of 𝜆-hypersurfaces [PDF]
Proceedings of the American Mathematical Society, 2022 We prove that any n n -dimensional closed mean convex λ \lambda - hypersurface is convex if λ ≤ 0. \lambda \le 0. This generalizes Guang’s work on 2 2 -dimensional strictly mean convex λ \lambda -hypersurfaces.
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Hypersurface model-fields of definition for smooth hypersurfaces and their twists [PDF]
Acta Arithmetica, 2020 Given a smooth projective variety of dimension $n-1\geq 1$ defined over a perfect field $k$ that admits a non-singular hypersurface modelin $\mathbb{P}^n_{\overline{k}}$ over $\overline{k}$, a fixed algebraic closure of $k$, it does not necessarily have a non-singular hypersurface model defined over the base field $k$.
Badr, Eslam, Bars Cortina, Francesc
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Isoparametric and Dupin Hypersurfaces
Symmetry, Integrability and Geometry: Methods and Applications, 2008 A hypersurface $M^{n−1}$ in a real space-form $R^n$, $S^n$ or $H^n$ is isoparametric if it has constant principal curvatures. For $R^n$ and $H^n$, the classification of isoparametric hypersurfaces is complete and relatively simple, but as Élie Cartan ...
Thomas E. Cecil
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