This book is about metric spaces of nonpositive curvature in the sense of Busemann, that is, metric spaces whose distance function satisfies a convexity condition. It also contains a systematic introduction to metric geometry, as well as a detailed presentation of some facets of…
Geometry and nonlinear partial differential equations: proceedings of the AMS special session held March…
by Oliker, Vladimir, Treibergs, Andrejs, American Mathematical Society., Meeting, Fayetteville, Ark.), Special Session on Geometry, Physics, and Nonlinear Partial Differential Equations, Fayetteville, Ark.)
fromContemporary mathematics (American Mathematical Society)
The mean curvature of a surface is an extrinsic parameter measuring how the surface is curved in the three-dimensional space. A surface whose mean curvature is zero at each point is a minimal surface, and it is known that such surfaces are models for soap film. A surface whose m…
"The mean curvature of a surface is an extrinsic parameter measuring how the surface is curved in the three-dimensional space. A surface whose mean curvature is zero at each point is a minimal surface, and it is known that such surfaces are models for soap film. A surface whose …
Geometry, topology, and dynamics in negative curvature
by Farrell, F. Thomas, Aravinda, C. S., Lafont, Jean-François, International Congress of Mathematicians Satellite Conference on Geometry, Topology, and Dynamics in Negative Curvature, Bangalore, Inde)
fromLondon Mathematical Society lecture note series
"The ICM 2010 satellite conference 'Geometry, Topology and Dynamics in Negative Curvature' afforded an excellent opportunity to discuss various aspects of this fascinating interdisciplinary subject in which methods and techniques from geometry, topology, and dynamics often inter…
The ICM 2010 satellite conference 'Geometry, Topology and Dynamics in Negative Curvature' afforded an excellent opportunity to discuss various aspects of this fascinating interdisciplinary subject in which methods and techniques from geometry, topology, and dynamics often intera…
This is the final volume of a three volume collection devoted to the geometry, topology, and curvature of 2-dimensional spaces. The collection provides a guided tour through a wide range of topics by one of the twentieth century's masters of geometric topology. The books are acc…
The localization technique from convex geometry is generalized to the setting of Riemannian manifolds whose Ricci curvature is bounded from below. In a nutshell, our method is based on the following observation: When the Ricci curvature is nonnegative, log-concave measures are o…