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Weighted metrics on tangent sphere bundles
tangent sphere bundle metric connection complex
2011/2/22
Natural metric structures on the tangent bundle and tangent sphere bundles SrM of a Riemannian manifold M with radius function r enclose many important unsolved problems. Admitting metric connections ...
The Tanno-Theorem for Kählerian metrics with arbitrary signature
Tanno-Theorem Kä hlerian metrics arbitrary signature
2011/1/18
Considering a non-constant smooth solution f of the Tanno equation on a closed,connected K¨ahler manifold (M, g, J) with positively definite metric g, Tanno showed that the manifold can be finitely co...
On the limit behavior of metrics in continuity method to Kahler-Einstein problem in toric Fano case
limit behavior of metrics continuity method Kahler-Einstein problem
2011/2/25
This is a continuation of paper [7]. On any toric Fano manifold, we discuss the behavior of limit metric of a sequence of metrics, which are solutions to a continuity family of complex Monge-Amp`ere e...