Infinitesimal Paraholomorphically Projective Transformation On Cotangent Bundle With Riemannian Extension

Abstract

The main purpose of the present paper is to study some properties of infinitesimal paraholomorphically projective transformation on 𝑇∗𝑀 with respect to the Levi-Civita connection of the Riemannian extension ( 𝑅∇) and adapted almost paracomplex structure 𝐽. Moreover, if 𝑇∗𝑀 be admits a non-affine infinitesimal paraholomorphically projective transformation, than 𝑀 and 𝑇∗𝑀 are locally flat.

Keywords

• paraholomorphically projective transformation
• almost paracomplex structure
• Riemannian extension
• adapted frame

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