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In this paper we investigate the convergence for the mean curvature flow of closed submanifolds with arbitrary codimension in space forms. Particularly, we prove that the mean curvature flow deforms a...
Abstract: A branching process of particles moving at finite velocity over the geodesic lines of the hyperbolic space (Poincar\'e half-plane and Poincar\'e disk) is examined. Each particle can split in...
Abstract: We consider the spherical mean transform $\mR(f)$ of a function $f$ defined on the hyperbolic space $\Hs^n$. Let $\uS \subset \Hs^n$ be the unit sphere centered at the origin, and $\mR_{\uS}...
Abstract: We prove that, up to isometric congruence, there are exactly 2n+1 homogeneous polar foliations of the complex hyperbolic space. We also give an explicit description of each of these foliatio...
The paper initiates a systematic study of M¨obius structures and Ptolemy spaces. We conjecture that every compact Ptolemy space with circles and many space inversions is M¨obius equivalent to the boun...
Generalizing a classical theorem of Carlson and Toledo, we prove that any Zariski dense isometric action of a K¨ahler group on the real hyperbolic space of dimension at least 3 factors through a homom...
We construct examples of inhomogeneous isoparametric real hypersurfaces in complex hyperbolic spaces.
2006Vol.45No.1pp.135-142DOI: On Differential Equations Describing 3-Dimensional Hyperbolic Spaces WU Jun-Yi,1 DING Qing,1,2 and Keti Tenenblat3 1 Institute of Mathematic...
We calculate the Casimir energy associated with abelian gauge fields in real compact hyperbolic spaces. The cosmological applications of the vacuum energies are briefly considered.
We analyze gauge theories based on abelian p¡forms in real compact hyperbolic manifolds. The explicit thermodynamic functions associated with skew–symmetric tensor fields are obtained via zeta–f...

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