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Metric flips with Calabi ansatz
Metric flips Calabi ansatz
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2010/11/12
We study the limiting behavior of the Kahler-Ricci flow on $\mathbb{P}(\mathcal{O}_{\mathbb{P}^n} \oplus \mathcal{O}_{\mathbb{P}^n}(-1)^{\oplus (m+1)})$, assuming the initial metric satisfies the Cal...
Geodesics of the Cheeger-Gromoll Metric
Geodesics Cheeger-Gromoll metric Horizontal and vertical lift
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2010/2/25
The main purpose of the paper is to investigate geodesics on the tangent bundle with respect to the Cheeger-Gromoll metric.
Metric Trees, Hyperconvex Hulls and Extensions
Hyperconvex spaces metric trees extensions
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2010/2/25
In this paper we examine the relationship between hyperconvex hulls and metric trees. After providing a linking construction for hyperconvex spaces, we show that the four-point property is inherited b...
On Cartan Spaces with (a, b)-metric
Cartan space (a,b)-metric h-metrical d-connection Conformally flat
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2010/2/26
É. Cartan [2] has originally introduced a Cartan space, which is considered as dual of Finsler space. H. Rund [10], F. Brickell [1] and others studied the relation between these two spaces. The...