Zobrazeno 1 - 10
of 299
pro vyhledávání: '"53C99"'
Autor:
Salm, Willem Adriaan
In this paper, we give an explicit construction of families of $\mathbb{Z}_2$-harmonic 1-forms that degenerate to manifolds with cylindrical ends. We do this by considering certain linear combinations of $L^2$-bounded $\mathbb{Z}_2$-harmonic 1-forms
Externí odkaz:
http://arxiv.org/abs/2410.07015
Autor:
Eldering, Jaap
We explore a definition of uniformity on noncompact manifolds that does not require a Riemannian metric, but is equivalent to bounded gemetry. These are unfinished research notes (and will likely never be published), but since they were cited by othe
Externí odkaz:
http://arxiv.org/abs/2407.16869
Autor:
Ovando, Gabriela P., Subils, Mauro
By fixing the usual metric on the Heisenberg Lie group $H_3$, we consider any left-invariant Lorentz force for which we write the corresponding magnetic equations. The aim of this work is twofold: the study of closed magnetic trajectories on Heisenbe
Externí odkaz:
http://arxiv.org/abs/2407.05515
Autor:
Müller, Olaf
This article suggests the definition of 'Lorentzian space' weakening the notion of Lorentzian length space just as much that it allows for a functor from the category of causally continuous Lorentzian manifolds to the corresponding category of Lorent
Externí odkaz:
http://arxiv.org/abs/2404.06428
Autor:
Dherin, Benoit, Weinstein, Alan
We introduce a special family of distributional alpha-densities and give a transversality criterion stating when their product is defined, closely related to Hormander's criterion for general distributions. Moreover, we show that for the subspace of
Externí odkaz:
http://arxiv.org/abs/2402.11854
Autor:
Cederbaum, Carla, Miehe, Anabel
We present a new proof of the Willmore inequality for an arbitrary bounded domain $\Omega\subset\mathbb{R}^{n}$ with smooth boundary. Our proof is based on a parametric geometric inequality involving the electrostatic potential for the domain $\Omega
Externí odkaz:
http://arxiv.org/abs/2401.11939
Autor:
Kryczka, Jacob
Publikováno v:
Contemporary Mathematics (AMS), Volume 789, (2023)
In this note we highlight a common origin for many ubiquitous geometric structures, as well as several new ones by using only the functors of differential calculus in A.M Vinogradov's original sense, adapted to special classes of (graded) commutative
Externí odkaz:
http://arxiv.org/abs/2312.04842
In this paper, we investigate metric Jordan algebras, and follow the lines of the paper (J. Milnor: Curvatures of left invariant metrics on Lie groups. Adv. Math. (1976)). Firstly, we define the Jordan-Levi-Civita connection, then we show that every
Externí odkaz:
http://arxiv.org/abs/2309.02682
Autor:
Ovando, Gabriela P., Subils, Mauro
The aim of this work is the study of left-invariant magnetic fields on 2-step nilpotent Lie groups. While the existence of closed 2-forms for which the center is either nondegenerate or in the kernel of the 2-form, is always guaranteed, the existence
Externí odkaz:
http://arxiv.org/abs/2210.12180
Autor:
Ovando, Gabriela P., Subils, Mauro
The aim of this work is the study of magnetic trajectories on nilmanifolds. The magnetic equation is written and the corresponding solutions are found for a family of invariant Lorentz forces on a 2-step nilpotent Lie group equipped with a left-invar
Externí odkaz:
http://arxiv.org/abs/2201.02258