@article{RSMUP_2010__124__77_0, author = {Stankovi\'c, Mi\'ca S. and Min\v{c}i\'c, Svetislav M. and Velimirovi\'c, Ljubica S. and Zlatanovi\'c, Milan Lj.}, title = {On equitorsion geodesic mappings of general affine connection spaces}, journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova}, pages = {77--90}, publisher = {Seminario Matematico of the University of Padua}, volume = {124}, year = {2010}, mrnumber = {2752677}, zbl = {1268.53013}, language = {en}, url = {http://www.numdam.org/item/RSMUP_2010__124__77_0/} }
TY - JOUR AU - Stanković, Mića S. AU - Minčić, Svetislav M. AU - Velimirović, Ljubica S. AU - Zlatanović, Milan Lj. TI - On equitorsion geodesic mappings of general affine connection spaces JO - Rendiconti del Seminario Matematico della Università di Padova PY - 2010 SP - 77 EP - 90 VL - 124 PB - Seminario Matematico of the University of Padua UR - http://www.numdam.org/item/RSMUP_2010__124__77_0/ LA - en ID - RSMUP_2010__124__77_0 ER -
%0 Journal Article %A Stanković, Mića S. %A Minčić, Svetislav M. %A Velimirović, Ljubica S. %A Zlatanović, Milan Lj. %T On equitorsion geodesic mappings of general affine connection spaces %J Rendiconti del Seminario Matematico della Università di Padova %D 2010 %P 77-90 %V 124 %I Seminario Matematico of the University of Padua %U http://www.numdam.org/item/RSMUP_2010__124__77_0/ %G en %F RSMUP_2010__124__77_0
Stanković, Mića S.; Minčić, Svetislav M.; Velimirović, Ljubica S.; Zlatanović, Milan Lj. On equitorsion geodesic mappings of general affine connection spaces. Rendiconti del Seminario Matematico della Università di Padova, Tome 124 (2010), pp. 77-90. http://www.numdam.org/item/RSMUP_2010__124__77_0/
[1] The Bianchi identities in the generalized theory of gravitation, Canadian Jour. Math., 2 (1950), pp. 120--128. | MR | Zbl
,[2] Non-Riemannian geometry, New York, 1927. | JFM
,[3] Generalized Riemannian spaces I, Nat. Acad. Sci. USA, 37 (1951), pp. 311--315. | MR | Zbl
,[4] Sulla possibilità di costruire parallelogrami chiusi in alcune varietà a torsione, Bollet. Un. mat. Italiana, Ser. III, 7 (1952), pp. 132--135. | MR | Zbl
,[5] The principle of equivalence and projective structure in spacetimes, Class. Quantum Grav., 24 (2007), pp. 3617--3636. | MR
- ,[6] The principle of equivalence and cosmological metrics, J. Math. Phys., 49 (2008), 022502. | MR | Zbl
- ,[7] Projective equivalence of Einstein spaces in general relativity, Class. Quantum Grav., 26 (2009), 125009. | MR | Zbl
- ,[8] Subspaces of a space with torsion, Proc. London math. soc., 34 (2) (1932), pp. 27--50. | Zbl
,[9] On F-planar mappings of spaces with affine connections, Note di Matematica, 27 n. 1 (2007), pp. 111--118. | MR | Zbl
- ,[10] Infinitesimal F-Planar Transformations, Russian Mathematics (Iz. VUZ), Vol. 52, No. 4 (2008), pp. 13--18. | MR | Zbl
- - ,[11] On generalized trace decompositions Problems, Proceedings of the Third International Conference dedicated to 85-th birthday of Professor Kudrijavcev (2008), pp. 299--314.
- - ,[12] On geodesic mappings of Einstein spaces (In Russian), Mat. zametki, 28 (1980), pp. 313--317. | MR | Zbl
,[13] Geodesic mappings of special Riemannian spaces, Coll. Math. Soc. J. Bolyai, 46. Topics in Diff. Geom., Debrecen (Hungary) (1984), pp. 793--813. | MR | Zbl
,[14] On an order of special transformartion of Riemannian spaces, Dif. Geom. and Apl., Proc. of the Conf. Dubrovnik, 3, (1988), pp. 199--208. | MR | Zbl
,[15] Holomorphically projective mappings and their generalizations, Itogi Nauki i Tekhniky, Ser. Probl. Geom. VINITI, 1988. | Zbl
,[16] Geodesic mappings of affine-connected and Riemannian spaces, J. Math. Sci. New York, (1996), pp. 311--333. | MR | Zbl
,[17] Geodesic Mappings of Manifolds with Affine Connection, Olomounc, 2008. | MR | Zbl
- - ,[18] K-concircular vector fields and holomorphically projective mappings on Kählerian spaces, Rend. del Circolo di Palermo, 46 (1997), pp. 123--127. | MR | Zbl
- ,[19] Ricci identities in the space of non-symmetric affine connection, Mat. Vesnik, 10 (25) (1973), pp. 161--172. | MR | Zbl
,[20] New commutation formulas in the non-symmetric affine connection space, Publ. Inst. Math. (Beograd) (N. S), 22 (36) (1977), pp. 189--199. | MR | Zbl
,[21] Independent curvature tensors and pseudotensors of spaces with non-symmetric affine connection, Coll. Math. Soc. János Bolyai, 31 (1979), pp. 45--460. | Zbl
,[22] Geometric interpretations of curvature tensors and pseudotensors of the spaces with non symmetric affine connection, Publ. Inst. Math., 47 (61) (1990), pp. 113--120 (in Russian). | MR | Zbl
,[23] On geodesic mapping of general affine connection spaces and of generalized Riemannian spaces, Mat. vesnik, 49 (1997), pp. 27--33. | MR | Zbl
- ,[24] Equitorsion geodesic mappings of generalized Riemannian spaces, Publ. Inst. Math. (Beograd) (N.S), 61 (75) (1997), pp. 97--104. | MR | Zbl
- ,[25] Holomorphically projective transformations in a locally product Riemannian spaces, Math. Balkanica, 1 (1971), pp. 195--213. | MR | Zbl
,[26] Four curvature tensors of non-symmetric affine connexion (in Russian), Proceedings of the conference "150 years of Lobachevski geometry", Kazan' 1976, Moscow 1997, pp. 199--205.
,[27] Relative Frenet formulae for a curve in a subspace of a Riemannian space, Tensor, N. S., 9 (1959), pp. 190--204. | MR | Zbl
,[28] A note on holomorphically projective transformations of the Kähler space, Tensor, N. S. Vol. 35 (1981), pp. 99--104. | MR | Zbl
,[29] -Projective Curvature Tensors, Annales Univ. Maria Curie-Sklodowska, Lublin - Polonia, XLI, 16 (1986), pp. 123--133. | MR | Zbl
,[30] Holomorphically projective mappings of parabolically Kählerian spaces, Math. Montisnigri, Vol. 8 (1997), pp. 159--184. | MR | Zbl
,[31] On relative curvature tensors in the subspace of a Riemannian space, Rev. de la fac. des sc. Istanbul, 33 (1968), pp. 69--75. | MR | Zbl
,[32] On generalized Riemann spaces, Riv. Mat. Univ. Parma, 7 (1956), pp. 125--138. | MR | Zbl
,[33] On the theory of holomorphically projective mappings parabolically Kählerian spaces, Differ. Geometry and Its Appl. Proc. Conf. Opava. Silesian Univ., Opava (1993), pp. 157--160. | MR | Zbl
,[34] Geodesic mappings of Riemannian spaces (in Rusian), Nauka, Moskow, 1979. | MR | Zbl
,[35] First type almost geodesic mappings of general affine connection spaces, Novi Sad J. Math., 29, No. 3 (1999), pp. 313--323. | MR | Zbl
,[36] On a canonic almost geodesic mappings of the second type of affine spaces, Filomat (Niš), 13 (1999), pp. 105--114. | MR | Zbl
,[37] On a special almost geodesic mappings of the third type of affine spaces, Novi Sad J. Math., 31, No. 2 (2001), pp. 125--135. | MR | Zbl
,[38] New special geodesic mappings of generalized Riemannian space, Publ. Inst. Math. (Beograd) (N.S), 67 (81) (2000), pp. 92--102. | MR | Zbl
- ,[39] New special geodesic mappings of affine connection spaces, Filomat, 14 (2000), pp. 19--31. | MR | Zbl
- ,[40] On holomorphically projective mappings of generalized Kählerian spaces, Mat. vesnik, 54 (2002), pp. 195--202. | MR | Zbl
- - ,[41] On equitorsion holomorphically projective mappings of generalised Kählerian spaces, Czechoslovak Mathematical Journal, 54 (129) (2004), pp. 701--715. | MR | Zbl
- - ,[42] Equitorsion holomorphically projective mappings of generalized Kählerian space of the first kind, Czechoslovak Mathematical Journal, Vol. 60, No. 3 (2010), pp. 635--653. | MR
- - ,[43] Infinitesimal Deformations and Lie Derivative of a Non-symmetric Affine Connection Space, Acta Univ. Palacki. Olomuc, Fac. rer. nat., Mathematica, 42 (2003), pp. 111--121. | MR | Zbl
- - ,[44] Sur la théorie des déformations infinitesimales, Journal of Fac. of Sci. Univ. of Tokyo, 6 (1949), pp. 1--75. | MR | Zbl
,[45] The theory of Lie derivatives and its applications, N-Holland Publ. Co. Amsterdam, 1957. | MR | Zbl
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