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
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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
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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
On the structure of the melting diagrams of quaternary systems
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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
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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;
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