The long-time behavior of geodesics in certain left-invariant metrics

D’Atri, J. E.

doi:10.1090/S0002-9939-1992-1145417-0

The long-time behavior of geodesics in certain left-invariant metrics
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by J. E. D’Atri PDF

Proc. Amer. Math. Soc. 116 (1992), 813-817 Request permission

Abstract:

We introduce a new notion to describe the behavior of geodesics as the parameter increases to infinity and obtain quantitative results for a class of left-invariant metrics that includes the Bergman metric on bounded homogeneous domains.

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