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  JP Journal of Geometry and Topology  
 ISSN: 0972-415X
 
 
 

     JP Journal of Geometry and Topology
    Volume 9, Issue 3, Pages 225 - 237 (November 2009)


INFINITESIMAL HOLOMORPHICALLY PROJECTIVE TRANSFORMATIONS ON TANGENT BUNDLES WITH RESPECT TO THE SYNECTIC METRIC TENSOR

A. Gezer, K. Akbulut and A. A. Salimov

Received October 23, 2008; Revised September 9, 2009

References:



[1] A. V. Aminova and D. A. Kalinin, Lie algebras of H-projective motions of Kähler manifolds of constant holomorphic sectional curvature, Math. Notes 65(5-6) (1999), 679-683.

[2] I. Hasegawa and K. Yamauchi, Infinitesimal holomorphically projective transformations on tangent bundles with horizontal lift connection and adapted almost complex structure, J. Hokkaido Univ. Educ. Nat. Sci. 53(2) (2003), 1-8.

[3] I. Hasegawa and K. Yamauchi, Infinitesimal projective transformations on tangent bundles with lift connections, Sci. Math. Jpn. 57(3) (2003), 469-483.

[4] I. Hasegawa and K. Yamauchi, Infinitesimal holomorphically projective transformations on tangent bundles with complete lift connection, Differ. Geom. Dyn. Syst. 7 (2005), 42-48.

[5] S. Ishihara, Holomorphically projective changes and their groups in an almost complex manifold, Tohoku Math. J. (2) 9 (1957), 273-297.

[6] E. Pavlov, Conformal-holomorphic metrics, Tensor (N.S.) 51(1) (1992), 26-32.

[7] S. Tachibana and S. Ishihara, On infinitesimal holomorphically projective transformations in Kählerian manifolds, Tohoku Math. J. (2) 12 (1960), 77-101.

[8] N. V. Talantova and A. P. Shirokov, A remark on a certain metric in the tangent bundle, Izv. Vyssh. Uchebn. Zaved. Mat. 6(157) (1975), 143-146 (in Russian).

[9] O. Tarakci, A. Gezer and A. A. Salimov, On solutions of IHPT equations on tangent bundles with the metric II + III, Math. Comput. Modelling 50(7-8) (2009), 953-958.

[10] V. V. Vishnevskiĭ, A. P. Shirokov and V. V. Shurygin, Spaces over Algebras, Kazan University Press, 1985, p. 264.

[11] K. Yano and S. Ishihara, Tangent and Cotangent bundles, Marcel Dekker, New York, 1973.

[12] K. Yano and S. Kobayashi, Prolongations of tensor fields and connections to tangent bundles I, II, III, J. Math. Soc. Japan 18(2-3) (1966), 194-210, 236-246; 19(4) (1967), 486-488.

Keywords and phrases: Communicated by Yasuo Matsushita

Communicated by Yasuo Matsushita

 


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