Equitorsion Holomorphically Projective Mappings Of Generalized Kählerian Space Of The Second Kind

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  • [1] Einstein, A., Bianchi identities in the generalized theory of gravitation, Canad. J. Math., 2, (1950), 120-128.
  • [2] Einstein, A., Die Grundlagen der allgemeinen Relativita¨ts−teorie, Annale der Physic, 49, (1916), 769.
  • [3] Einstein, A., Relativistic theory of the non-symmetic field, Appendix II in the book: The meaning of relativity 5th edit., Princeton, 49, 1955.
  • [4] Einstein, A., Generalization of the relativistic theory of gravitation, Ann. of math., Princeton, 46, (1945), 576-584.
  • [5] Eisenhart, L. P., Generalized Riemannian spaces I, Proc. Nat. Acad. Sci. USA, 37 (1951), 311–315.
  • [6] Hall, G. S., Lonie, D. P., The principle of equivalence and projective structure in spacetimes, Class. Quantum Grav. 24 (2007), 3617-3636.
  • [7] Hall, G. S., Lonie, D. P., The principle of equivalence and cosmological metrics, J. Math. Phys. 49, 022502 (2008).
  • [8] Hall, G. S., Lonie, D. P., Projective equivalence of Einstein spaces in general relativity, Class. Quantum Grav. 26 (2009) 125009.
  • [9] Mikeˇs, J., Geodesic mappings of special Riemannian spaces, Coll. Math. Soc. J. Bolyai, 46. Topics in Diff. Geom., Debrecen (Hungary), (1984), 793–813.
  • [10] Mikeˇs, J., Holomorphically projective mappings and their generalizations, Itogi Nauki i Tekhniky, Ser. Probl. Geom. VINITI, 1988.
  • [11] Mikeˇs, J., Geodesic mappings of affine-connected and Riemannian spaces, J. Math. Sci. New York, (1996), 311–333.
  • [12] Mikeˇs, J., Kiosak, V., Vanˇzurov´a, A., Geodesic Mappings of Manifolds with Affine Connection, Olomounc, 2008.
  • [13] Mikeˇs, J., Starko, G. A., K-koncircular vector fields and holomorphically projective mappings on Ka¨hlerian spaces, Rend. del Circolo di Palermo, 46, (1997), 123–127.
  • [14] Minˇci´c, S. M., Ricci identities in the space of non-symmetric affine connection, Mat. Vesnik, 10(25), (1973), 161–172.
  • [15] Minˇci´c, S. M., New commutation formulas in the non-symmetric affine connection space, Publ. Inst. Math. (Beograd) (N. S), 22(36), (1977), 189–199.
  • [16] Minˇci´c, S. M., Independent curvature tensors and pseudotensors of spaces with non- symmetric affine connection, Coll. Math. Soc. J´anos Bolyai 31, (1979), 45–460.
  • [17] Minˇci´c, S. M., Stankovi´c, M. S., Velimirovi´c, Lj. S., Generalized K¨ahlerian spaces, Filomat, 15, (2001), 167-174.
  • [18] Minˇci´c, S. M., Zlatanovi´c, M. Lj., New Commutation Formulas for δ-differentation in a Generalized Finsler Space, DGDS, Vol.12, (2010), 145-157.
  • [19] Otsuki, T., Tasiro, Y., On curves in K¨ahlerian spaces, Math. J. Okayama Univ. 4 No 1, (1954), 57–78.
  • [20] Prvanovi´c, M., Holomorphically projective transformations in a locally product Rie- mannian spaces, Math. Balkanica, 1, (1971), 195–213.
  • [21] Prvanovi´c, M., Four curvature tensors of non-symmetric affine connexion (in Rus- sian), Proceedings of the conference ”150 years of Lobachevski geometry”, Kazan’ 1976, Moscow 1997, 199–205.
  • [22] Prvanovi´c, M., A note on holomorphically projective transformations of the Ka¨hler space, Tensor, N. S. Vol. 35, (1981), 99–104.
  • [23] Puˇsi´c, N., On an invariant tensor of a conformal transformation of a hyperbolic Kaehlerian manifold, Zbornik radova Fil. fak. Niˇs, s. Matem., 4, (1990), 55–64.
  • [24] Puˇsi´c, N., Charasteristic of some hyperbolic Kahlerian space, Coll. of Sci. papers of the Fac. of Sci. Kragujevac, 16, (1994), 97–104.
  • [25] Puˇsi´c, N., Holomorphically-projecive connections of a hyperbolic K¨ahlerian space, Filo- mat (Niˇs), 9:2, (1995), 187–195.
  • [26] Puˇsi´c, N., On geodesic lines of metric semi-symmetric connection on Riemannian and hyperbolic K¨ahlerian spaces, Novi Sad J. Math., 29, No 3, (1999), 291–299.
  • [27] Radulovich, Zh., Holomorphically-projective mappings of parabolically-K¨ahlerian spaces, Math. Montisnigri, Vol. 8 (1997), 159-184.
  • [28] Sinyukov, N. S.,Geodesic Mappings of Riemannian Spaces, Nauka, Moscow, 1979 (in Russian).
  • [29] Stankovi´c, M. S., Minˇci´c, S. M., Velimirovi´c, Lj. S., On equitorsion Holomorphically projective mappings of generalized K¨ahlerian spaces, Czech. Math. Jour., 54(129), (2004), 701–715.
  • [30] Stankovi´c, M. S. , Zlatanovi´c Lj. M., Velimirovi´c, Lj. S., Equitorsion holomorphically projective mappings of generalized K¨ahlerian space of the first kind, Czechoslovak Mathematical Journal, accepted for publication.
  • [31] Stankovi´c, M. S. , Minˇci´c, S. M., Velimirovi´c, Lj. S., Zlatanovi´c Lj. M., On equitor- sion geodesic mappings of general affine connection spaces, Rendiconti del Seminario Matematico Della Universita di Padova, accepted for publication.
  • [32] Stankovi´c, M. S., Velimirovi´c, Lj. S., Zlatanovi´c Lj. M., Some relations in the gener- alized K¨ahlerian spaces of the second kind, Filomat 23:2 (2009), 82–89.
  • [33] Yano, K., Differential Geometry of Complex and Almost Complex Spaces, Pergamon Press, New York, 1965.
  • [34] Yano, K., On complex conformal connections, Kodai Math. Sem. Rep. 26, (1975), 137–151.
  • [35] Zlatanovi´c, M. Lj., Minˇci´c, S. M., Identities for curvature tensors in generalized Finsler space, Filomat 23:2, (2009), 34-42.