oalib
Search Results: 1 - 10 of 100 matches for " "
All listed articles are free for downloading (OA Articles)
Page 1 /100
Display every page Item
Complete minimal hypersurfaces in quaternionic hyperbolic space  [PDF]
Jaime Orjuela
Mathematics , 2012, DOI: 10.1007/s10711-013-9907-5
Abstract: We construct new examples of embedded, complete minimal hypersurfaces in quaternionc hyperbolic space and also some minimal foliations. We introduce fans an construct analytic deformations of bisectors.
Curvature flow of complete hypersurfaces in hyperbolic space  [PDF]
Ling Xiao
Mathematics , 2011,
Abstract: In this paper we continue our study of finding the curvature flow of complete hypersurfaces in hyperbolic space with a prescribed asymptotic boundary at infinity. Our main results are proved by deriving a priori global gradient estimates and C^2 estimates.
A monotonicity formula on complete K?hler manifolds with nonnegative bisectional curvature  [PDF]
Lei Ni
Mathematics , 2003,
Abstract: In this paper, we derive a new monotonicity formula for the plurisuhbarmonic functions on complete K\"ahler manifolds with nonnegative bisectional curvature. As applications we derive the sharp estimates for the dimension of the spaces of holomorphic functions (sections) with polynomial growth, which in particular, partially solve a conjecture of Yau.
Curvature flow of complete convex hypersurfaces in hyperbolic space  [PDF]
Ling Xiao
Mathematics , 2011,
Abstract: We investigate the existence, convergence and uniqueness of modified general curvature flow of convex hypersurfaces in hyperbolic space with a prescribed asymptotic boundary.
Integral representations and complete monotonicity related to the remainder of Burnside's formula for the gamma function  [PDF]
Feng Qi
Mathematics , 2014, DOI: 10.1016/j.cam.2014.03.004
Abstract: In the paper, the authors establish integral representations of some functions related to the remainder of Burnside's formula for the gamma function and find the (logarithmically) complete monotonicity of these and related functions. These results extend and generalize some known conclusions.
Complete minimal hypersurfaces in the hyperbolic space $\mathbb{H}^4$ with vanishing Gauss-Kronecker curvature  [PDF]
T. Hasanis,A. Savas-Halilaj,T. Vlachos
Mathematics , 2005,
Abstract: We investigate 3-dimensional complete minimal hypersurfaces in the hyperbolic space $\mathbb{H}^{4}$ with Gauss-Kronecker curvature identically zero. More precisely, we give a classification of complete minimal hypersurfaces with Gauss-Kronecker curvature identically zero, nowhere vanishing second fundamental form and scalar curvature bounded from below.
Completeness of hyperbolic centroaffine hypersurfaces  [PDF]
Vicente Cortés,Marc Nardmann,Stefan Suhr
Mathematics , 2014,
Abstract: This paper is concerned with the completeness (with respect to the centroaffine metric) of hyperbolic centroaffine hypersurfaces which are closed in the ambient vector space. We show that completeness holds under generic regularity conditions on the boundary of the convex cone generated by the hypersurface. The main result is that completeness holds for hyperbolic components of level sets of homogeneous cubic polynomials. This implies that every such component defines a complete quaternionic K\"ahler manifold of negative scalar curvature.
Hypersurfaces in hyperbolic space with support function  [PDF]
Vincent Bonini,Jose Espinar,Jie Qing
Mathematics , 2012,
Abstract: In this paper we develop a global correspondence between immersed horospherically convex hypersurfaces in hyperbolic space and complete conformal metrics on domains in the sphere. We establish results on when the hyperbolic Gauss map is injective and when an immersed horospherically convex hypersurface can be unfolded along the normal flow into an embedded one. These results allow us to establish general Alexandrov reflection principles of elliptic problems of both Weingarten hypersurfaces and complete conformal metrics and relations between them. Consequently, we are able to obtain, for instance, a strong Bernstein theorem for a complete, immersed, horospherically convex hypersurface of constant mean curvature in hyperbolic space.
Hypersurfaces of Constant Curvature in Hyperbolic Space II  [PDF]
Joel Spruck,Bo Guan
Mathematics , 2008,
Abstract: We find complete hypersurfaces of constant curvature in hyperbolic space with a prescribed asymptotic boundary at infinity for a general class of (elliptic) curvature functions which includes the higher order mean curvatures and their curvature quotients.
Hypersurfaces of Constant Curvature in Hyperbolic Space I  [PDF]
Joel Spruck,Bo Guan,Marek Szapiel
Mathematics , 2008,
Abstract: We investigate the problem of finding complete strictly convex hypersurfaces of constant curvature in hyperbolic space with a prescribed asymptotic boundary at infinity for a general class of curvature functions.
Page 1 /100
Display every page Item


Home
Copyright © 2008-2017 Open Access Library. All rights reserved.