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Einstein metrics and Yamabe invariants of weighted projective spaces
Einstein metrics Yamabe invariants weighted projective spaces Differential Geometry
2012/6/25
An orbifold version of the Hitchin-Thorpe inequality is used to prove that certain weighted projective spaces do not admit orbifold Einstein metrics. Also, several estimates for the orbifold Yamabe in...
Curvatures of weighted metrics on tangent sphere bundles
metric connection tangent sphere bundle curvature
2011/9/21
Abstract: We determine the curvature equations of natural metrics on tangent bundles and radius r tangent sphere bundles S_rM of a Riemannian manifold M. A family of positive scalar curvature metrics ...
Abstract: In this note, we explain that Ross-Thomas' result on the weighted Bergman kernels on orbifolds can be directly deduced from our previous result. This result plays an important role in the co...
Computation of the highest coefficients of weighted Ehrhart quasi-polynomials of rational polyhedra
coefficients weighted Ehrhart quasi-polynomials rational polyhedra
2010/11/12
This article concerns the computational problem of counting the lattice points inside convex polytopes, when each point must be counted with a weight associated to it. We describe an efficient algori...
Weighted Bergman Projections and Kernels: Lp Regularity and Zeros
Weighted Bergman Projections Kernels: Lp Regularity Zeros
2010/12/6
We investigate Lp regularity of weighted Bergman projec-tions and zeros of weighted Bergman kernels for the weights that are radially symmetric and comparable to 1 on the unit disc.
Hierarchy Structure of Graphs and Weighted Condensations
Hierarchy Structure Graphs Weighted Condensations
2010/11/1
By natural way the hierarchy structure is introduced on directed graphs with weighted adjacencies. Embedded system of algebras of subsets of the set of vertices of such digraph and it's consolidation...