Global properties of codimension two spacelike submanifolds in Minkowski space [PDF]
advg, 2009 Abstract We consider codimension two spacelike submanifolds with a parallel normal field (i.e. vanishing normal curvature) in Minkowski space. We use the analysis of their contacts with hyperplanes and hyperquadrics in order to get some global information on them.
Izumiya, Shyuichi +2 more
openaire +3 more sources
Normal Anti-Invariant Submanifolds of Paraquaternionic Kähler Manifolds [PDF]
Surveys in Mathematics and its Applications, 2006 We introduce normal anti-invariant submanifolds of paraquaternionic Kähler manifolds and study the geometric structures induced on them. We obtain necessary and sufficient conditions for the integrability of the distributions defined on a normal anti ...
Novac-Claudiu Chiriac
doaj +1 more source
Characterizing W 2,p Submanifolds by p -Integrability of Global Curvatures [PDF]
Geometric and Functional Analysis, 2013 We give sufficient and necessary geometric conditions, guaranteeing that an immersed compact closed manifold $Σ^m\subset \R^n$ of class $C^1$ and of arbitrary dimension and codimension (or, more generally, an Ahlfors-regular compact set $Σ$ satisfying a mild general condition relating the size of holes in $Σ$ to the flatness of $Σ$ measured in terms of
Kolasinski, S. +2 more
openaire +4 more sources
Global flow structure and exact formal transseries of the Gubser flow in kinetic theory
Journal of High Energy Physics, 2020 In this work we introduce the generic conditions for the existence of a non-equilibrium attractor that is an invariant manifold determined by the long-wavelength modes of the physical system.
Alireza Behtash +3 more
doaj +1 more source
Conformal-twisted product semi-slant submanifolds in globally conformal Kaehler manifolds
Hacettepe Journal of Mathematics and Statistics, 2021 We introduce the notion of conformal-twisted product submanifolds of the form $_fM^{T}\times_{b}M^{\theta}$ and $_fM^{\theta}\times_{b}M^{T}$, where $M^T$ is a holomorphic submanifold and $M^\theta$ is a proper slant submanifold of $M$ in a globally conformal Kaehler manifold and $f$ and $b$ are conformal factor and twisting function, respectively. We
Sibel GERDAN AYDIN, Hakan Mete TAŞTAN
openaire +4 more sources
Minimal homogeneous submanifolds in euclidean spaces [PDF]
, 2002 We prove that minimal (extrinsically) homogeneous submanifolds of the Euclidean space are totally geodesic. As an application, we obtain that a complex (intrisecally) homogeneous submanifold of a complex Euclidean space must be totally ...
Di Scala, Antonio Jose'
core +1 more source
Global Persistence of Lyapunov Subcenter Manifolds as Spectral Submanifolds under Dissipative Perturbations [PDF]
SIAM Journal on Applied Dynamical Systems, 2019 For a nondegenerate analytic system with a conserved quantity, a classic result by Lyapunov guarantees the existence of an analytic manifold of periodic orbits tangent to any two-dimensional, elliptic eigenspace of a fixed point satisfying nonresonance conditions.
Rafael de la Llave, Florian Kogelbauer
openaire +2 more sources
Submanifolds with curvature normals of constant length and the Gauss map [PDF]
, 2004 We show that a submanifold with curvature normal of constant length has constant principal curvatures under suitable global hypothesis.
A. J. Di Scala +3 more
core +1 more source
A Berger type normal holonomy theorem for complex submanifolds [PDF]
, 2010 We prove a kind of Berger-Simons' Theorem for the normal holonomy group of a complex submanifold of the projective ...
Antonio J. Di Scala +5 more
core +1 more source
A Splitting Result for Real Submanifolds of a Kähler Manifold [PDF]
, 2022 Let (Z,ω) be a connected Kähler manifold with an holomorphic action of the complex reductive Lie group U^C, where U is a compact connected Lie group acting in a hamiltonian fashion. Let G be a closed compatible Lie group of UC and let M be a G-invariant
Biliotti, Leonardo
core +1 more source