Results 281 to 290 of about 634,077 (306)

Inverse mean curvature flow in complex hyperbolic space

, 2016
We consider the evolution by inverse mean curvature flow of a closed, mean convex and star-shaped hypersurface in the complex hyperbolic space. We prove that the flow is defined for any positive time, the evolving hypersurface stays star-shaped and mean ...
Giuseppe Pipoli
semanticscholar   +1 more source

Cotranchal Bisectors in Complex Hyperbolic Space

Geometriae Dedicata, 2003
Two bisectors in complex hyperbolic space \(\mathbb{C} H^n\) are called cotranchal if they possess a common slice. In the paper a natural thing, called the prespinal angle between two such bisectors, is defined and used to study the intersection of two such bisectors.
openaire   +2 more sources

Hypformer: Exploring Efficient Transformer Fully in Hyperbolic Space

Knowledge Discovery and Data Mining
Hyperbolic geometry have shown significant potential in modeling complex structured data, particularly those with underlying tree-like and hierarchical structures.
Menglin Yang, Harshit Verma, Delvin Ce Zhang, Jiahong Liu, Irwin King, Rex Ying   +5 more
semanticscholar   +1 more source

Towards Effective, Efficient and Unsupervised Social Event Detection in the Hyperbolic Space

AAAI Conference on Artificial Intelligence
The vast, complex, and dynamic nature of social message data has posed challenges to social event detection (SED). Despite considerable effort, these challenges persist, often resulting in inadequately expressive message representations (ineffective) and
Xiaoyan Yu, Yifan Wei, Shuaishuai Zhou, Zhiwei Yang, Li Sun, Hao Peng, Liehuang Zhu, Philip S. Yu   +7 more
semanticscholar   +1 more source

On Hyperbolicity Modulo a Closed Subset of Singular Complex Spaces

Acta Mathematica Vietnamica, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Pham Nguyen Thu Trang, Nguyen Van Trao
openaire   +2 more sources

The moduli space of hyperbolic compact complex spaces

Mathematische Zeitschrift, 2006
The author constructs the moduli space of reduced hyperbolic compact complex spaces. He uses a general criterion to represent analytic functors by coarse moduli spaces. This criterion has already been used to construct the moduli space of polarized Kähler manifolds.
openaire   +1 more source

On Mean Periodic Functions on Complex Hyperbolic Spaces

Siberian Mathematical Journal, 2002
Summary: We obtain a general solution to one class of convolution equations on the complex hyperbolic space.
openaire   +2 more sources

New construction of ruled real hypersurfaces in a complex hyperbolic space and its applications

, 2020
M. Kimura, S. Maeda, H. Tanabe
semanticscholar   +1 more source

Semilinear submanifolds in complex hyperbolic space

form, 1999
Semilinear submanifolds in complex hyperbolic space are investigated. Besides their elementary properties and intersections, the paper also considers slice decomposition, minimality, the CR property and the existence of a spine of the submanifold.
openaire   +1 more source

Foliation on the moduli space of extrinsic circular trajectories on a complex hyperbolic space

, 2015
T. Adachi
semanticscholar   +1 more source