Conformal-twisted product semi-slant submanifolds in globally conformal Kaehler manifolds
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
Characterizing W 2,p Submanifolds by p -Integrability of Global Curvatures [PDF]
We give sufficient and necessary geometric conditions, guaranteeing that an immersed compact closed manifold $ ^m\subset \R^n$ of class $C^1$ and of arbitrary dimension and codimension (or, more generally, an Ahlfors-regular compact set $ $ satisfying a mild general condition relating the size of holes in $ $ to the flatness of $ $ measured in ...
Kolasinski, S. +2 more
openaire +4 more sources
Electrostatics and self-force in asymptotically flat cylindrical wormholes
The problem of the electrostatics in conical wormholes is revisited, now improving the background geometries with asymptotical flatness. The electric self-force on a point charge placed at different regions in the spacetime of a conical thin-shell ...
E. Rubín de Celis, C. Simeone
doaj +1 more source
Global flow structure and exact formal transseries of the Gubser flow in kinetic theory
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
Global Persistence of Lyapunov Subcenter Manifolds as Spectral Submanifolds under Dissipative Perturbations [PDF]
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.
de la Llave, Rafael, Kogelbauer, Florian
openaire +2 more sources
Global properties of codimension two spacelike submanifolds in Minkowski space [PDF]
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 +2 more sources
Inspired by recent developments generalizing Jordan-Wigner dualities to higher dimensions [Ann. Phys. 393, 234 (2018)APNYA60003-491610.1016/j.aop.2018.03.024], we develop a framework of such dualities using an algebraic formalism for translation ...
Nathanan Tantivasadakarn
doaj +1 more source
A microlocal approach to eigenfunction concentration [PDF]
We describe a new approach to understanding averages of high energy Laplace eigenfunctions, $u_h$, over submanifolds, $$ \Big|\int _H u_hd\sigma_H\Big| $$ where $H\subset M$ is a submanifold and $\sigma_H$ the induced by the Riemannian metric on $M ...
Galkowski, Jeffrey
core +4 more sources
Algebraic higher symmetry and categorical symmetry: A holographic and entanglement view of symmetry
A global symmetry (0-symmetry) in an n-dimensional space acts on the whole space. A higher symmetry acts on closed submanifolds (i.e., loops and membranes, etc.), and those transformations form a higher group.
Liang Kong +4 more
doaj +1 more source
Global pinching theorems for minimal submanifolds in spheres [PDF]
The author proves some rigidity theorems. The framework is a compact submanifold with parallel mean curvature vector embedded in the unit sphere. Sobolev inequalities of P. Li are used as a tool to get estimates for the norms of certain tensors related to the second fundamental form of the compact submanifold conditions for the latter to be a minimal ...
openaire +1 more source

