Zobrazeno 1 - 10
of 29 093
pro vyhledávání: '"Hyperbolic Space"'
Autor:
Qi, Meilin1 (AUTHOR), Wu, Yuanyuan1 (AUTHOR) wuyuanyuan@cdut.edu.cn
Publikováno v:
Scientific Reports. 11/1/2024, Vol. 14 Issue 1, p1-12. 12p.
To leverage the complex structures within heterogeneous graphs, recent studies on heterogeneous graph embedding use a hyperbolic space, characterized by a constant negative curvature and exponentially increasing space, which aligns with the structura
Externí odkaz:
http://arxiv.org/abs/2411.11283
We establish a general scale-dependent Poincar\'{e}-Hardy type identity involving a vector field on the hyperbolic space. By choosing suitable parameter, potential and vector field in this identity, we can recover, as well as derive new versions of s
Externí odkaz:
http://arxiv.org/abs/2410.21039
Autor:
Guilloux, Antonin, Courtois, Gilles
One of our main goals in this paper is to understand the behavior of limit sets of a diverging sequence of Schottky groups in the group of isometries of the N-dimensional hyperbolic space. This leads us to a generalization of a classical theorem of B
Externí odkaz:
http://arxiv.org/abs/2410.10266
On the hyperbolic space, we study a semilinear equation with non-autonomous nonlinearity having a critical Sobolev exponent. The Poincar\'e-Sobolev equation on the hyperbolic space explored by Mancini and Sandeep [Ann. Sc. Norm. Super. Pisa Cl. Sci.
Externí odkaz:
http://arxiv.org/abs/2410.03164
Few-shot image generation aims to generate diverse and high-quality images for an unseen class given only a few examples in that class. However, existing methods often suffer from a trade-off between image quality and diversity while offering limited
Externí odkaz:
http://arxiv.org/abs/2411.17784
The $L_p$-Christoffel-Minkowski problem and the prescribed $L_p$-Weingarten curvature problem for convex hypersurfaces in Euclidean space are important problems in geometric analysis. In this paper, we consider their counterparts in hyperbolic space.
Externí odkaz:
http://arxiv.org/abs/2411.17345
Autor:
Luo, Tianci, Wei, Yong
The horospherical $p$-Christoffel-Minkowski problem was posed by Li and Xu (2022) as a problem prescribing the $k$-th horospherical $p$-surface area measure of $h$-convex domains in hyperbolic space $\mathbb{H}^{n+1}$. It is a natural generalization
Externí odkaz:
http://arxiv.org/abs/2411.17328
Autor:
Moriani, Alex, Trebeschi, Enrico
We prove that the scalar curvature is a rigid invariant for complete maximal spacelike $p$-submanifolds in the pseudo-hyperbolic space $\mathbb{H}^{p,q}$. We characterize the $p$-submanifolds achieving the bound and study the hyperbolicity of maximal
Externí odkaz:
http://arxiv.org/abs/2411.10352