Equitorsion holomorphically projective mappings of generalized Kählerian space of the first kind
Mića S. Stanković; Milan Lj. Zlatanović; Ljubica S. Velimirović
Czechoslovak Mathematical Journal (2010)
- Volume: 60, Issue: 3, page 635-653
- ISSN: 0011-4642
Access Full Article
topAbstract
topHow to cite
topStanković, Mića S., Zlatanović, Milan Lj., and Velimirović, Ljubica S.. "Equitorsion holomorphically projective mappings of generalized Kählerian space of the first kind." Czechoslovak Mathematical Journal 60.3 (2010): 635-653. <http://eudml.org/doc/38032>.
@article{Stanković2010,
abstract = {In this paper we define generalized Kählerian spaces of the first kind $(G\underset\{1\}\{K\}_N)$ given by (2.1)–(2.3). For them we consider hollomorphically projective mappings with invariant complex structure. Also, we consider equitorsion geodesic mapping between these two spaces ($G\underset\{1\}\{K\}_N$ and $G\underset\{1\}\{\overline\{K\}\}_N$) and for them we find invariant geometric objects.},
author = {Stanković, Mića S., Zlatanović, Milan Lj., Velimirović, Ljubica S.},
journal = {Czechoslovak Mathematical Journal},
keywords = {generalized Riemannian space; Kählerian space; generalized Kählerian space of the first kind; equitorsion holomorphically projective mappings; holomorphically projective parameter; generalized Riemannian space; Kählerian space; generalized Kählerian space of the first kind; equitorsion holomorphically projective mappings; holomorphically projective parameter},
language = {eng},
number = {3},
pages = {635-653},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Equitorsion holomorphically projective mappings of generalized Kählerian space of the first kind},
url = {http://eudml.org/doc/38032},
volume = {60},
year = {2010},
}
TY - JOUR
AU - Stanković, Mića S.
AU - Zlatanović, Milan Lj.
AU - Velimirović, Ljubica S.
TI - Equitorsion holomorphically projective mappings of generalized Kählerian space of the first kind
JO - Czechoslovak Mathematical Journal
PY - 2010
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 60
IS - 3
SP - 635
EP - 653
AB - In this paper we define generalized Kählerian spaces of the first kind $(G\underset{1}{K}_N)$ given by (2.1)–(2.3). For them we consider hollomorphically projective mappings with invariant complex structure. Also, we consider equitorsion geodesic mapping between these two spaces ($G\underset{1}{K}_N$ and $G\underset{1}{\overline{K}}_N$) and for them we find invariant geometric objects.
LA - eng
KW - generalized Riemannian space; Kählerian space; generalized Kählerian space of the first kind; equitorsion holomorphically projective mappings; holomorphically projective parameter; generalized Riemannian space; Kählerian space; generalized Kählerian space of the first kind; equitorsion holomorphically projective mappings; holomorphically projective parameter
UR - http://eudml.org/doc/38032
ER -
References
top- Chodorová, M., Mikeš, J., A note to K-torse forming vector fields on compact manifolds with complex structure, Acta Physica Debrecina 42 (2008), 11-18. (2008) MR2754424
- Einstein, A., 10.4153/CJM-1950-011-4, Can. J. Math. 2 (1950), 120-128. (1950) Zbl0039.38802MR0034134DOI10.4153/CJM-1950-011-4
- Einstein, A., 10.1002/andp.19163540702, Ann. Phys. 49 (1916), 769-822. (1916) DOI10.1002/andp.19163540702
- Einstein, A., Relativistic theory of the non-symmetic field, In: The Meaning of Relativity, 5th ed., Appendix II, Vol. 49 Princeton University Press Princeton (1955). (1955)
- Einstein, A., 10.2307/1969197, Ann. Math. 46 (1945), 578-584. (1945) Zbl0060.44113MR0014296DOI10.2307/1969197
- Eisenhart, L. P., 10.1073/pnas.37.5.311, Proc. Natl. Acad. Sci. 37 (1951), 311-315. (1951) MR0043530DOI10.1073/pnas.37.5.311
- Hinterleitner, I., Mikeš, J., On -planar mappings of spaces with affine connections, Note Mat. 27 (2007), 111-118. (2007) MR2367758
- Hinterleitner, I., Mikeš, J., Stránská, J., 10.3103/S1066369X08040026, Russ. Math. 52 (2008), 13-18. (2008) MR2445169DOI10.3103/S1066369X08040026
- Jukl, M., Juklová, L., Mikeš, J., On Generalized Trace Decompositions Problems. Proc. 3rd International Conference dedicated to 85th birthday of Professor Kudrijavcev, (2008), 299-314. (2008)
- Mikeš, J., 10.1007/BF02414875, J. Math. Sci. 89 (1998), 1334-1353. (1998) MR1619720DOI10.1007/BF02414875
- Mikeš, J., Starko, G. A., -concircular vector fields and holomorphically projective mappings on Kählerian spaces, Suppl. Rend. Circ. Palermo 46 (1997), 123-127. (1997) MR1469028
- Minči'c, S. M., Ricci identities in the space of non-symmetric affine connection, Mat. Ves. 10 (1973), 161-172. (1973) MR0341310
- Minči'c, S. M., New commutation formulas in the non-symmetric affine connection space, Publ. Inst. Math. (N. S) 22 (1977), 189-199. (1977) MR0482552
- Minči'c, S. M., Independent curvature tensors and pseudotensors of spaces with non-symmetric affine connection, Coll. Math. Soc. János Bolyai 31 (1982), 445-460. (1982) MR0706937
- Minčić, S. M., Stanković, M. S., Velimirović, Lj. S., Generalized Kählerian spaces, Filomat 15 (2001), 167-174. (2001) MR2105108
- Otsuki, T., Tasiro, Y., On curves in Kählerian spaces, Math. J. Okayama Univ. 4 (1954), 57-78. (1954) MR0066024
- Prvanovi'c, M., A note on holomorphically projective transformations in Kähler space, Tensor, N.S. 35 (1981), 99-104. (1981) MR0614141
- Radulovi'c, Zh., Holomorphically-projective mappings of parabolically-Kählerian spaces, Math. Montisnigri 8 (1997), 159-184. (1997) MR1623833
- Shiha, M., On the theory of holomorphically projective mappings of parabolically Kählerian spaces, In: Differential Geometry and Its Applications. Proc. 5th International Conference, Opava, August 24-28, 1992 Silesian University Opava (1993), 157-160. (1993) Zbl0805.53017MR1255537
- Sinyukov, N. S., Geodesic Mappings of Riemannian Spaces, Nauka Moscow (1979), Russian. (1979) Zbl0637.53020MR0552022
- Stanković, M. S., Minčić, S. M., Velimirović, Lj. S., 10.1007/s10587-004-6419-3, Czech. Math. J. 54(129) (2004), 701-715. (2004) MR2086727DOI10.1007/s10587-004-6419-3
- Vavříková, H., Mikeš, J., Pokorná, O., Starko, G., 10.3103/S1066369X07010021, Russ. Math. 51 (2007), 8-12. (2007) MR2335593DOI10.3103/S1066369X07010021
- Yano, K., Differential Geometry of Complex and Almost Complex Spaces, Pergamon Press New York (1965). (1965) MR0187181
- Yano, K., 10.2996/kmj/1138846996, Kodai Math. Semin. Rep. 26 (1975), 137-151. (1975) Zbl0302.53013MR0377736DOI10.2996/kmj/1138846996
Citations in EuDML Documents
top- Irena Hinterleitner, Josef Mikeš, On holomorphically projective mappings from manifolds with equiaffine connection onto Kähler manifolds
- Irena Hinterleitner, Josef Mikeš, Patrik Peška, On -planar mappings of (pseudo-) Riemannian manifolds
- Milan Zlatanović, Irena Hinterleitner, Marija Najdanović, Geodesic mapping onto Kählerian spaces of the first kind
- Mića S. Stanković, Svetislav M. Minčić, Ljubica S. Velimirović, Milan Lj. Zlatanović, On equitorsion geodesic mappings of general affine connection spaces
NotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.