On Unitary Invariant Strongly Pseudoconvex Complex Landsberg Metrics
نویسندگان
چکیده
منابع مشابه
On BC-generalized Landsberg Finsler metrics
Equality of hh -curvatures of the Berwald and Cartan connections leads to a new class of Finsler metrics, socalled BC-generalized Landsberg metrics. Here, we prove that every BC-generalized Landsberg metric of scalar flag curvature with dimension greater than two is of constant flag curvature.
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Let 1 and 2 be strongly pseudoconvex domains in Cn and f : 1 → 2 an isometry for the Kobayashi or Carathéodory metrics. Suppose that f extends as a C1 map to ̄1. We then prove that f |∂ 1 : ∂ 1 → ∂ 2 is a CR or anti-CR diffeomorphism. It follows that 1 and 2 must be biholomorphic or anti-biholomorphic. Mathematics Subject Classification (2000): 32F45 (primary); 32Q45 (secondary).
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متن کاملEstimates of Invariant Metrics on Pseudoconvex Domains near Boundaries with Constant Levi Ranks
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متن کاملon bc-generalized landsberg finsler metrics
equality of -curvatures of the berwald and cartan connections leads to a new class of finsler metrics, so-called bc-generalized landsberg metrics. here, we prove that every bc-generalized landsberg metric of scalar flag curvature with dimension greater than two is of constant flag curvature.
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ژورنال
عنوان ژورنال: Journal of Mathematical Study
سال: 2016
ISSN: 1006-6837,2617-8702
DOI: 10.4208/jms.v49n1.16.02