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Almost Hermitian structures on the frame bundle of an almost Hermitian manifold. (English) Zbl 0717.53022

Authors’ abstract: “Let (M,g,J) be an almost Hermitian manifold and consider on its frame bundle \({\mathfrak F}(M)\) the almost Hermitian structure \((g^ D,J^ H)\). We study the type of almost Hermitian structure \({\mathfrak F}(M)\) acquires when we consider a particular one on M and we prove that there exists some type of almost Hermitian structure that (\({\mathfrak F}(M),g^ D,J^ H)\) cannot possess.”
Reviewer: N.Youssef

MSC:

53C15 General geometric structures on manifolds (almost complex, almost product structures, etc.)
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