This article is cited in 1 paper

On a Class of Almost-Hermitian Structures on Tangent Bundles

B. V. Zayatuev

Moscow State Pedagogical University

Abstract: We construct a new almost-Hermitian structure of anti-invariant type on tangent bundles and deduce criteria for this structure to belong to all the Gray–Hervella classes. In particular, we prove that the tangent bundles over Kählerian and semi-Kählerian manifolds carry, respectively, a Kählerian and a semi-Kählerian structure.

UDC: 514.7

Received: 30.04.2003

DOI: 10.4213/mzm148

 English version: Mathematical Notes, 2004, 76:5, 682–688

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