【摘 要】
：
In this talk,we use a Killing form on a Riemannian manifold to construct a class of Finsler metrics.We find equations that characterize Einstein metrics amo
【机 构】
：
ChongqingUniversityofTechnology,P.R.China
论文部分内容阅读
In this talk,we use a Killing form on a Riemannian manifold to construct a class of Finsler metrics.We find equations that characterize Einstein metrics among this class.In particular,we construct a family of Einstein metrics on S3 with Ric = 2F2,Ric = 0 and Ric = -2F2,respectively.This family of metrics provide an important class of Finsler metrics in dimension three,whose Ricci curvature is a constant,but the flag curvature is not.
其他文献
In this talk we discuss closed geodesics on hyperbolic surfaces.In particular,for any fixed k,were interested in the set of all geodesics with at least(but
One of the most striking result of Grothendieck-Teichmüller theory is to reduce the description of the geometric Galois representations in the moduli space
I will report on a joint work with Victor Turchin and Thomas Willwacher about graph complexes and the rational homotopy of the little cubes operads(equivale
Few realize the difficulty,and yet the structure,of the R(egular)I(nverse)G(alois)P(roblem): Producing a group G as a regular Galois extension of Q(x),with
We discuss how bipartite graphs on Riemann surfaces capture a wealth of information about the physics and the mathematics of large classes of gauge theories
For a fixed open Riemann surface R of genus one,we shall consider the set C of closings of R.M.Shiba showed that the set(m)of moduli of C is a closed disk i
The talk includes,in its first part,a survey of results from the spectral theory of weaklysymmetric tensors,applied to the metric and Cartan tensor fields f
This talk will be about my recent work on algebraic deformations of representations of the fundamental group of a large class of manifolds including CAT(0)s
The moduli space Mg of compact Riemann surfaces of genus g has two distinguished loci; the real and the singular ones composed by points representing surfac
The Isom-conjecture of Grothendieck concerns the fact,that the isomorphism class of certain types of varieties is uniquely determined by their étale fundam