Mean Curvature Flow in Null Hypersurfaces and the Detection of MOTS
Sign Up to like & getrecommendations! Published in 2022 at "Communications in Mathematical Physics"
DOI: 10.1007/s00220-022-04326-9
Abstract: We study the mean curvature flow in 3-dimensional null hypersurfaces. In a spacetime a hypersurface is called null, if its induced metric is degenerate. The speed of the mean curvature flow of spacelike surfaces in… read more here.
Keywords: curvature; hypersurface; curvature flow; null hypersurfaces ... See more keywords
On local invariants of singular symplectic forms
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Geometry and Physics"
DOI: 10.1016/j.geomphys.2016.12.022
Abstract: We find a complete set of local invariants of singular symplectic forms with the structurally stable Martinet hypersurface on a 2n-dimensional manifold. In the C-analytic category this set consists of the Martinet hypersurface Σ2, the… read more here.
Keywords: hypersurface; singular symplectic; martinet hypersurface; symplectic form ... See more keywords
Jacobian ideals, arrangements and the Lefschetz properties
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Algebra"
DOI: 10.1016/j.jalgebra.2018.04.029
Abstract: Abstract We consider in this paper the following questions: does the Jacobian ideal of a smooth hypersurface have the Weak Lefschetz Property? Does the Jacobian ideal of a smooth hypersurface have the Strong Lefschetz Property?… read more here.
Keywords: hypersurface; arrangements lefschetz; ideal; jacobian ideal ... See more keywords
Hypersurface singularities in arbitrary characteristic
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Algebra"
DOI: 10.1016/j.jalgebra.2019.08.020
Abstract: Abstract The study of singularities of algebraic or analytic spaces over the field of complex numbers is a traditional subject, but, in contrast, the parallel theory over arbitrary algebraically closed fields is still poor and… read more here.
Keywords: arbitrary characteristic; hypersurface singularity; hypersurface; hypersurface singularities ... See more keywords
Limit hypersurface state of the art Gaidai multivariate risk evaluation approach for offshore Jacket
Sign Up to like & getrecommendations! Published in 2024 at "Mechanics Based Design of Structures and Machines"
DOI: 10.1080/15397734.2024.2379523
Abstract: Abstract Current study presents state of the art approach to risk and reliability assessment for multivariate nonlinear dynamic systems. Specifically, novel hypersurface Gaidai risks evaluation methodology has been presented for evaluating offshore structural risks. Advocated… read more here.
Keywords: multivariate; methodology; hypersurface; state art ... See more keywords
On the structure of the melting diagrams of quaternary systems
Sign Up to like & getrecommendations! Published in 2017 at "Russian Journal of Inorganic Chemistry"
DOI: 10.1134/s003602361705014x
Abstract: Topological and geometric images of invariant and monovariant reactions with the participation of melt in quaternary systems were presented. A network of invariant points and monovariant lines characterizes the structure of the liquidus hypersurface. Each… read more here.
Keywords: hypersurface; structure melting; diagrams quaternary; melting diagrams ... See more keywords
A New Method for Finding the Shape Operator of a Hypersurface in Euclidean 4-Space
Sign Up to like & getrecommendations! Published in 2018 at "Filomat"
DOI: 10.2298/fil1817827u
Abstract: In this paper, by taking a Frenet curve lying on a parametric or implicit hypersurface and using the extended Darboux frame field of this curve, we give a new method for calculating the shape operator’s… read more here.
Keywords: hypersurface; new method; shape operator;
Symmetrizer group of a projective hypersurface
Sign Up to like & getrecommendations! Published in 2025 at "Journal of the Mathematical Society of Japan"
DOI: 10.2969/jmsj/93469346
Abstract: To each projective hypersurface which is not a cone, we associate an abelian linear algebraic group called the symmetrizer group of the corresponding symmetric form. This group describes the set of homogeneous polynomials with the… read more here.
Keywords: hypersurface; group; symmetrizer group; projective hypersurface ... See more keywords
Gradient Ricci Solitons on Spacelike Hypersurfaces of Lorentzian Manifolds Admitting a Closed Conformal Timelike Vector Field
Sign Up to like & getrecommendations! Published in 2024 at "Mathematics"
DOI: 10.3390/math12060842
Abstract: In this article, we investigate Ricci solitons occurring on spacelike hypersurfaces of Einstein Lorentzian manifolds. We give the necessary and sufficient conditions for a spacelike hypersurface of a Lorentzian manifold, equipped with a closed conformal… read more here.
Keywords: hypersurface; vector field; ricci solitons; spacelike hypersurfaces ... See more keywords
Volume properties and some characterizations of ellipsoids in En+1
Sign Up to like & getrecommendations! Published in 2021 at "Turkish Journal of Mathematics"
DOI: 10.3906/mat-2009-36
Abstract: Suppose that M is a strictly convex and closed hypersurface in E with the origin o in its interior. We consider the homogeneous function g of positive degree d satisfying M = g−1(1) . Then,… read more here.
Keywords: volume properties; hypersurface; properties characterizations; characterizations ellipsoids ... See more keywords