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A note on Markov type constants

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Abstract.

We prove that, if a geodesic metric space has Markov type 2 with constant 1, then it is an Alexandrov space of nonnegative curvature. The same technique provides a lower bound of the Markov type 2 constant of a space containing a tripod or a branching point.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, Kyoto University, Kyoto, 606-8502, Japan

    Shin-Ichi Ohta

  2. Department of Mathematical Sciences, University of Tokyo, 3-8-1 Komaba, Tokyo, 153-8914, Japan

    Mikaël Pichot

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  1. Shin-Ichi Ohta
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  2. Mikaël Pichot
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Corresponding author

Correspondence to Shin-Ichi Ohta.

Additional information

The first author was partly supported by the JSPS postdoctoral fellowship for research abroad. The second author was partly supported by the JSPS postdoctoral fellowship for foreign researchers.

Received: 28 November 2007

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Ohta, SI., Pichot, M. A note on Markov type constants. Arch. Math. 92, 80–88 (2009). https://doi.org/10.1007/s00013-008-2672-2

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  • DOI: https://doi.org/10.1007/s00013-008-2672-2

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