Zobrazeno 1 - 10
of 5 432
pro vyhledávání: '"Conical singularities"'
For conformal metrics with conical singularities and positive curvature on $\mathbb S^2$, we prove a convergence theorem and apply it to obtain a criterion for nonexistence in an open region of the prescribing data. The core of our study is a fine an
Externí odkaz:
http://arxiv.org/abs/2408.12201
On a compact surface, we prove existence and uniqueness of the conformal metric whose curvature is prescribed by a negative function away from finitely many points where the metric has prescribed angles presenting cusps or conical singularities.
Externí odkaz:
http://arxiv.org/abs/2408.12195
Autor:
Sturm, Karl-Theodor
We study spectral properties and geometric functional inequalities on Riemannian manifolds of dimension $\ge3$ with (finite or countably many) conical singularities $\{z_i\}_{i\in\mathfrak I}$ in the neighborhood of which the largest lower bound for
Externí odkaz:
http://arxiv.org/abs/2405.10734
Using $\Gamma$-convergence, we study the Cahn-Hilliard problem with interface width parameter $\varepsilon > 0$ for phase transitions on manifolds with conical singularities. We prove that minimizers of the corresponding energy functional exist and c
Externí odkaz:
http://arxiv.org/abs/2403.07178
Autor:
Lee, Tang-Kai, Zhao, Xinrui
In this paper, we prove that for any asymptotically conical self-shrinker, there exists an embedded closed hypersurface such that the mean curvature flow starting from it develops a singularity modeled on the given shrinker. The main technique is the
Externí odkaz:
http://arxiv.org/abs/2405.15577
We prove Ilmanen's resolution of point singularities conjecture by establishing short-time smoothness of the level set flow of a smooth hypersurface with isolated conical singularities. This shows how the mean curvature flow evolves through asymptoti
Externí odkaz:
http://arxiv.org/abs/2312.00759
We construct using variational methods Hamiltonian Stationary Surfaces with Isolated Schoen-Wolfson Conical Singularities. We obtain these surfaces through a convergence process reminiscent to the Ginzburg-Landau asymptotic analysis in the strongly r
Externí odkaz:
http://arxiv.org/abs/2311.15734
Autor:
Schrohe, Elmar
These notes recall central elements of the cone calculus. The focus lies on conically degenerate differential operators and the Laplace-Beltrami operator with respect to a conically degenerate metric as a prototypical example. The topics include mani
Externí odkaz:
http://arxiv.org/abs/2311.07746
In this article, we obtain the explicit expression of the Casimir energy for 2-dimensional Clifford-Klein space forms in terms of the geometrical data of the underlying spacetime with the help of zeta-regularization techniques. The spacetime is geome
Externí odkaz:
http://arxiv.org/abs/2311.03331
There has been a lot of interests in Positive Mass Theorems for singular metrics on smooth manifolds. We prove a positive mass theorem for asymptotically flat (AF) spin manifolds with isolated conical singularities or more generally horn singularitie
Externí odkaz:
http://arxiv.org/abs/2310.13285