Zobrazeno 1 - 10
of 635
pro vyhledávání: '"35R01"'
Autor:
Sire, Yannick, Xu, Tian
We introduce a new parabolic flow deforming any Riemannian metric on a spin manifold by following a constrained gradient flow of the total scalar curvature. This flow is built out of the well-known Dirac-Einstein functional. We prove local well-posed
Externí odkaz:
http://arxiv.org/abs/2409.12430
Autor:
de León, Manuel, Rifà, Jordi Gaset, Muñoz-Lecanda, Miguel C., Rivas, Xavier, Román-Roy, Narciso
Action-dependent field theories are systems where the Lagrangian or Hamiltonian depends on new variables that encode the action. After a friendly introduction, we make a quick presentation of a new mathematical framework for action-dependent field th
Externí odkaz:
http://arxiv.org/abs/2409.08340
Autor:
Malizia, Francesco
We prove that Palais-Smale sequences for Liouville type functionals on closed surfaces are precompact whenever they satisfy a bound on their Morse index. As a byproduct, we obtain a new proof of existence of solutions for Liouville type mean-field eq
Externí odkaz:
http://arxiv.org/abs/2409.06515
We prove the Riemannian version of a classical Euclidean result: every level set of the capacitary potential of a starshaped ring is starshaped. In the Riemannian setting, we restrict ourselves to starshaped rings in a warped product of an open inter
Externí odkaz:
http://arxiv.org/abs/2408.16435
On a compact Riemann surface $(\Sigma, g)$ with a smooth boundary $\partial \Sigma$, we consider the following mean field equations with Neumann boundary conditions: $$ -\Delta_g u = \lambda \left(\frac{Ve^u}{\int_{\Sigma} Ve^u \, dv_g} - \frac{1}{|\
Externí odkaz:
http://arxiv.org/abs/2408.16917
This paper introduces the sigma flow model for the prediction of structured labelings of data observed on Riemannian manifolds, including Euclidean image domains as special case. The approach combines the Laplace-Beltrami framework for image denoisin
Externí odkaz:
http://arxiv.org/abs/2408.15946
Autor:
Hu, Zhengni
This paper studies solutions to a singular $SU(3)$ Toda system with linear source terms on a compact Riemann surface $\Sigma$ with smooth boundaries $\partial\Sigma$. We establish the existence of solutions when the parameters are not critical, assum
Externí odkaz:
http://arxiv.org/abs/2408.14979
Autor:
Turnquist, Axel G. R.
We focus on Optimal Transport PDE on the unit sphere $\mathbb{S}^2$ with a particular type of cost function $c(x,y) = F(x \cdot y, x \cdot \hat{e}, y \cdot \hat{e})$ which we call cost functions with preferential direction, where $\hat{e} \in \mathbb
Externí odkaz:
http://arxiv.org/abs/2407.07256
Autor:
Ho, Pak Tung, Lee, Sanghoon
Carlotto, Chodosh and Rubinstein have studied the convergence rate of the Yamabe flow. Inspired by their result, we study the convergence rate of the $Q$-curvature flow in this paper. In particular, we provide an example of a slowly converging $Q_6$-
Externí odkaz:
http://arxiv.org/abs/2407.08757
Autor:
Balc'h, Kévin Le
This actual version contains a bad mistake, located in Section 2.3 that invalidates the proofs of the main results.
Comment: Comments are welcome
Comment: Comments are welcome
Externí odkaz:
http://arxiv.org/abs/2406.16036