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A New Intrinsic Metric on Metric Spaces
Bulletin of the Malaysian Mathematical Sciences Society, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cui, Yumiao, Xiao, Yingqing
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Algebra universalis, 2012
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Holland, W. C. +2 more
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Holland, W. C. +2 more
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Inequalities Between Intrinsic Metrics
Proceedings of the American Mathematical Society, 1977We introduce the “mth order Carathéodory-Reiffen metric,” the “mth order Bergman metric” and the “mth order modified Bergman metric” on M. Here M is a complex manifold which is ample in a suitable sense. These “metrics” are defined on T ( M ) T(M) and they are intrinsic. They arise as solutions of maximum
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Intrinsic Metrics: Definition and Basic Facts
2021In this chapter we introduce the notion of an intrinsic metric. Section 11.1 is devoted to definitions and motivations. An important class of examples are so-called path metrics, which we discuss in Section 11.2. In this section we prove a Hopf–Rinow theorem, which characterizes metric completeness.
Matthias Keller +2 more
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The Intrinsic Metric on the Box Fractal
Bulletin of the Iranian Mathematical Society, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yunus Özdemir +2 more
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Homogeneous manifolds with intrinsic metric. II
Siberian Mathematical Journal, 1989See the review in Zbl 0671.53036.
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Intrinsic metric and one-dimensional diffusions
Statistics & Probability Letters, 2019This paper studies the intrinsic metric of one-dimensional diffusions. Let \((\mathcal{E},\mathcal{F})\) be a strongly local symmetric Dirichlet form on \(L^2(E;m)\), where \(E\) is a locally compact separable Hausdorff space and \(m\) is a fully supported Radon measure on \(E\).
Sun, Wenjie, Ying, Jiangang
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