Results 31 to 40 of about 73,367 (201)
Extrinsic and intrinsic curvatures in thermodynamic geometry
Physics Letters B, 2016 We investigate the intrinsic and extrinsic curvatures of a certain hypersurface in thermodynamic geometry of a physical system and show that they contain useful thermodynamic information.
Seyed Ali Hosseini Mansoori +2 more
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Parallel Hypersurfaces in 𝔼4 and Their Applications to Rotational Hypersurfaces
MathematicsThis study explores parallel hypersurfaces in four-dimensional Euclidean space E4, deriving explicit expressions for their Gaussian and mean curvatures in terms of the curvature functions of the base hypersurface. We identify conditions under which these
Sezgin Büyükkütük +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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Mapped Null Hypersurfaces and Legendrian Maps
, 2007 For an $(m+1)$-dimensional space-time $(X^{m+1}, g),$ define a mapped null hypersurface to be a smooth map $\nu:N^{m}\to X^{m+1}$ (that is not necessarily an immersion) such that there exists a smooth field of null lines along $\nu$ that are both tangent
Beem +11 more
core +2 more sources
CR-hypersurfaces of the six-dimensional sphere
International Journal of Mathematics and Mathematical Sciences, 1994 We proved that there does not exist a proper CR-hypersurface of S6 with parallel second fundamental form. As a result of this we showed that S6 does not admit a proper CR-totally umbilical hypersurface.
M. A. Bashir
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Communications, Faculty Of Science, University of Ankara Series A1Mathematics and Statistics, 1983 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Karliğa, B., Hacisalihoğlu, H. H.
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HYPERSURFACE EXCEPTIONAL SINGULARITIES [PDF]
International Journal of Mathematics, 2001 This paper studies hypersurface exceptional singularities in [Formula: see text] defined by non-degenerate function. For each canonical hypersurface singularity, there exists a weighted homogeneous singularity such that the former is exceptional if and only if the latter is exceptional.
Ishii, Shihoko, Prokhorov, Yuri
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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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Front Propagation Through a Perforated Wall
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We consider a bistable reaction– diffusion equation ut=Δu+f(u)$u_t=\Delta u +f(u)$ on RN${\mathbb {R}}^N$ in the presence of an obstacle K$K$, which is a wall of infinite span with many holes. More precisely, K$K$ is a closed subset of RN${\mathbb {R}}^N$ with smooth boundary such that its projection onto the x1$x_1$‐axis is bounded and that ...
Henri Berestycki +2 more
wiley +1 more source