1. bookVolume 26 (2018): Issue 2 (December 2018)
Journal Details
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16 Jun 2010
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2 times per year
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English
access type Open Access

A new class of almost complex structures on tangent bundle of a Riemannian manifold

Published Online: 31 Dec 2018
Page range: 137 - 145
Received: 18 Jun 2017
Accepted: 21 Sep 2017
Journal Details
License
Format
Journal
First Published
16 Jun 2010
Publication timeframe
2 times per year
Languages
English

In this paper, the standard almost complex structure on the tangent bunle of a Riemannian manifold will be generalized. We will generalize the standard one to the new ones such that the induced (0, 2)-tensor on the tangent bundle using these structures and Liouville 1-form will be a Riemannian metric. Moreover, under the integrability condition, the curvature operator of the base manifold will be classified.

Keywords

MSC 2010

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