On solutions of IHPT equations on tangent bundles with the metric II + III

✍ Scribed by O. Tarakci; A. Gezer; A.A. Salimov

• Publisher: Elsevier Science
• Year: 2009
• Tongue: English
• Weight: 472 KB
• Volume: 50
• Category: Article
• ISSN: 0895-7177
• DOI: 10.1016/j.mcm.2008.04.001

✦ Synopsis

The metric II + III Infinitesimal holomorphically projective transformations a b s t r a c t

The main purpose of the present paper is to determine the most general IHPT (Infinitesimal Holomorphically Projective Transformation) on T(M n ) with respect to a Levi-Civita connection of the metric II + III and adapted almost complex structure. Moreover, if T(M n ) admits a non-affine infinitesimal holomorphically projective transformation, then M n and T(M n ) are locally flat.