Results 1 to 10 of about 614 (137)
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, GÜLER Erhan
exaly +3 more sources
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
doaj +1 more source
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
doaj +1 more source
Hypersurfaces in the general inner product spaces [PDF]
Journal of Hyperstructures, 2017 Let A be a symmetric positive definite (n+ 1)×(n+ 1) real matrix for n ≥ 1 and S ∈ R n+1 be a hypersurface. We are supposed to determine the tangent space TpS in an arbitrary point p ∈ S in the case that the whole space R n+1 admits the inner product ...
Ali Parsian
doaj +1 more source
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
openaire +3 more sources
Hypersurfaces of a Sasakian manifold - revisited
Journal of Inequalities and Applications, 2021 We study orientable hypersurfaces in a Sasakian manifold. The structure vector field ξ of a Sasakian manifold determines a vector field v on a hypersurface that is the component of the Reeb vector field ξ tangential to the hypersurface, and it also gives
Sharief Deshmukh +3 more
doaj +1 more source
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
openaire +2 more sources
The interior volume calculation for an axially symmetric black hole
Physics Letters B, 2019 Since an axially symmetric metric is much more complicated than a spherically symmetric metric, the largest hypersurface that corresponds to the interior volume of a black hole proposed by Christodoulou and Rovelli, cannot be found easily. Analogous to a
Xin-Yang Wang, Wen-Biao Liu
doaj +1 more source
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
openaire +3 more sources
Hypersurfaces of a Sasakian Manifold
Mathematics, 2020 We extend the study of orientable hypersurfaces in a Sasakian manifold initiated by Watanabe. The Reeb vector field ξ of the Sasakian manifold induces a vector field ξ T on the hypersurface, namely the tangential component of ξ to ...
Haila Alodan +3 more
doaj +1 more source