11,535 research outputs found
Strictly non-proportional geodesically equivalent metrics have
Suppose the Riemannian metrics and on a closed connected
manifold are geodesically equivalent and strictly non-proportional at
least at one point. Then the topological entropy of the geodesic flow of
vanishes.Comment: This is a slightly extended version of the paper submitted to ETDS.
16 pages, one .eps figur
The Kobayashi pseudodistance on almost complex manifolds
We extend the definition of the Kobayashi pseudodistance to almost complex
manifolds and show that its familliar properties are for the most part
preserved. We also study the automorphism group of an almost complex manifold
and finish with some examples.Comment: 19 pages, Late
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