Results 11 to 20 of about 10,016 (227)
Lightlike Hypersurfaces and Canal Hypersurfaces of Lorentzian Surfaces [PDF]
Abstract and Applied Analysis, 2014 The lightlike hypersurfaces in semi-Euclidean space are of special interest in Relativity Theory. In particular, the singularities of these lightlike hypersurfaces provide good models for the study of different horizon types.
Jianguo Sun, Donghe Pei
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Coisotropic hypersurfaces in Grassmannians [PDF]
Journal of Symbolic Computation, 2021 22 ...
Kohn, Kathlén,
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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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Journal of the Institute of Mathematics of Jussieu, 2020 AbstractThe following theorem, which includes as very special cases results of Jouanolou and Hrushovski on algebraic $D$-varieties on the one hand, and of Cantat on rational dynamics on the other, is established: Working over a field of characteristic zero, suppose $\unicode[STIX]{x1D719}_{1},\unicode[STIX]{x1D719}_{2}:Z\rightarrow X$ are dominant ...
Jason Bell, Rahim Moosa, Adam Topaz
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Irreducibility of Hypersurfaces [PDF]
Communications in Algebra, 2009 Given a polynomial P in several variables over an algebraically closed field, we show that except in some special cases that we fully describe, if one coefficient is allowed to vary, then the polynomial is irreducible for all but at most deg(P)^2-1 values of the coefficient.
Bodin, Arnaud +2 more
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Prescribed $k$-symmetric curvature hypersurfaces in de Sitter space [PDF]
, 2020 We prove existence of compact spacelike hypersurfaces with prescribed k - curvature in de Sitter space, where the prescription function depends on both space and the tilt ...
Klingenberg, Wilhelm +2 more
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Implicitization of hypersurfaces
Journal of Symbolic Computation, 2017 We present new, practical algorithms for the hypersurface implicitization problem: namely, given a parametric description (in terms of polynomials or rational functions) of the hypersurface, find its implicit equation. Two of them are for polynomial parametrizations: one algorithm, "ElimTH", has as main step the computation of an elimination ideal via ...
ABBOTT, JOHN ANTHONY +2 more
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A certain tensor on real hypersurfaces in a nonflat complex space form [PDF]
, 2020 summary:In a nonflat complex space form (namely, a complex projective space or a complex hyperbolic space), real hypersurfaces admit an almost contact metric structure $(\phi , \xi , \eta , g)$ induced from the ambient space.
Okumura, Kazuhiro
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Hypersurfaces of cohomogeneity one and hypersurfaces of revolution
Differential Geometry and its Applications, 2004 A Riemannian manifold \(M\) equipped with a Lie group \(G\) of isometries has cohomogeneity \(1\) whenever the principal \(G\)-orbits are of codimension \(1\). Here, the authors deal with such complete cohomogeneity-\(1\) hypersurfaces \(M\) in \(\mathbb R^{n+1}\), \(n\geq 3\), which are unflat at infinity. He proves the following results: (1) If \(G\)
Mercuri, Francesco +1 more
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Lie derivatives on real hypersurfaces in a complex projective space [PDF]
, 1995 summary:We characterize homogeneous real hypersurfaces $M$’s of type $(A_1)$, $(A_2)$ and $(B)$ of a complex projective space in the class of real hypersurfaces by studying the holomorphic distribution $T^0M$ of $M$
Kimura, Makoto +2 more
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