Title:
|
On $f$-planar mappings of affine-connection spaces with infinite dimension (English) |
Author:
|
Mikeš, Josef |
Author:
|
Bácsó, Sándor |
Author:
|
Zedník, Josef |
Language:
|
English |
Journal:
|
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica |
ISSN:
|
0231-9721 |
Volume:
|
36 |
Issue:
|
1 |
Year:
|
1997 |
Pages:
|
157-162 |
. |
Category:
|
math |
. |
MSC:
|
53B05 |
MSC:
|
58B20 |
idZBL:
|
Zbl 0960.53012 |
idMR:
|
MR1620545 |
. |
Date available:
|
2009-01-29T15:50:57Z |
Last updated:
|
2012-05-03 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/120362 |
. |
Reference:
|
[1] Bácsó S., Verhócki L.: E1-planar mappings on spaces of affine connection without torsion.Publ. Math. 37, 1-2 (1990), 131-136. MR 1063665 |
Reference:
|
[2] Fomin V. E.: On differential geometry with infinite dimension.Trudy Sem. Kaf. Geometrii, 7, Kazan’, Kazan’sk. gos. Univ. (1974). MR 0400284 |
Reference:
|
[3] Fomin V. E.: On the infinite dimensional space of constant curvature.Trudy Sem. Kaf. Geometrii, 8, Kazan’, Kazan’sk. gos. Univ. (1975). MR 0431250 |
Reference:
|
[4] Levi-Civita T.: Sulle transformationi delle equazioni dinamiche.Ann. Mat. Milano 24, 2 (1896), 255-300. |
Reference:
|
[5] Mikeš J.: On F- and f-planar mappings, transformations, and deformations.Geom. of Generalized Spaces, Penza (1992), 60-65 MR 1265508 |
Reference:
|
[6] Mikeš J.: Geodesic mappings of affine-connected and Riemannian spaces.J. of Math. Sci., New York, 1996. Zbl 0866.53028, MR 1384327 |
Reference:
|
[7] Sinyukov N. S.: Geodesic mapping of Riemannian spaces.Nauka, Moscow, 1979. MR 0552022 |
Reference:
|
[8] Yano K.: Union curves and subpaths.Math, J., 1 (1948), 51-59. Zbl 0041.09501, MR 0028090 |
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