Results 31 to 40 of about 629 (55)

Volume-Preserving flow by powers of the mth mean curvature in the hyperbolic space [PDF]

open access: yes, 2013
This paper concerns closed hypersurfaces of dimension $n(\geq 2)$ in the hyperbolic space ${\mathbb{H}}_{\kappa}^{n+1}$ of constant sectional curvature $\kappa$ evolving in direction of its normal vector, where the speed is given by a power $\beta (\geq ...
Guo, Shunzi, Li, Guanghan, Wu, Chuanxi
core  

The Topology of the AdS/CFT/Randall-Sundrum Complementarity

open access: yes, 2001
The background geometries of the AdS/CFT and the Randall-Sundrum theories are locally similar, and there is strong evidence for some kind of "complementarity" between them; yet the global structures of the respective manifolds are very different. We show
Aharony   +38 more
core   +4 more sources

Einstein Metrics on Spheres

open access: yes, 2003
We prove the existence of an abundance of new Einstein metrics on odd dimensional spheres including exotic spheres, many of them depending on continuous parameters. The number of families as well as the number of parameter grows double exponentially with
Boyer, Charles P.   +2 more
core   +3 more sources

Some open problems and conjectures on submanifolds of finite type: recent development [PDF]

open access: yes, 2014
Submanifolds of finite type were introduced by the author during the late 1970s. The first results on this subject were collected in author's books [26,29].
Chen, Bang-Yen
core   +1 more source

Convergence of homogeneous manifolds

open access: yes, 2012
We study in this paper three natural notions of convergence of homogeneous manifolds, namely infinitesimal, local and pointed, and their relationship with a fourth one, which only takes into account the underlying algebraic structure of the homogeneous ...
Lauret, Jorge
core   +1 more source

Four-manifolds of Pinched Sectional Curvature

open access: yes, 2019
In this paper, we study closed four-dimensional manifolds. In particular, we show that under various new pinching curvature conditions (for example, the sectional curvature is no more than 5/6 of the smallest Ricci eigenvalue) then the manifold is ...
Cao, Xiaodong, Tran, Hung
core  

On the geometry of cohomogeneity one manifolds with positive curvature

open access: yes, 2007
This is a survey on cohomogeneity one manifolds with positive curvature. We discuss the known examples of this type and their geometry and the functions that describe the metric. We also describe the classification of cohomogeneity one manifolds that can
Ziller, Wolfgang
core   +1 more source
Some of the next articles are maybe not open access.

Cervical cancer prevention and control in women living with human immunodeficiency virus

Ca-A Cancer Journal for Clinicians, 2021
Philip E Castle, Vikrant V Sahasrabuddhe
exaly  

The global burden of lung cancer: current status and future trends

Nature Reviews Clinical Oncology, 2023
Amanda Leiter
exaly  

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