On f -planar mappings of affine-connection spaces with infinite dimension

Josef Mikeš; Sándor Bácsó; Josef Zedník

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (1997)

  • Volume: 36, Issue: 1, page 157-162
  • ISSN: 0231-9721

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Mikeš, Josef, Bácsó, Sándor, and Zedník, Josef. "On $f$-planar mappings of affine-connection spaces with infinite dimension." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 36.1 (1997): 157-162. <http://eudml.org/doc/23641>.

@article{Mikeš1997,
author = {Mikeš, Josef, Bácsó, Sándor, Zedník, Josef},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {affine connection; geodesic mapping; -planar mappings},
language = {eng},
number = {1},
pages = {157-162},
publisher = {Palacký University Olomouc},
title = {On $f$-planar mappings of affine-connection spaces with infinite dimension},
url = {http://eudml.org/doc/23641},
volume = {36},
year = {1997},
}

TY - JOUR
AU - Mikeš, Josef
AU - Bácsó, Sándor
AU - Zedník, Josef
TI - On $f$-planar mappings of affine-connection spaces with infinite dimension
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 1997
PB - Palacký University Olomouc
VL - 36
IS - 1
SP - 157
EP - 162
LA - eng
KW - affine connection; geodesic mapping; -planar mappings
UR - http://eudml.org/doc/23641
ER -

References

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  1. Bácsó S., Verhócki L., E1-planar mappings on spaces of affine connection without torsion, Publ. Math. 37, 1-2 (1990), 131-136. (1990) MR1063665
  2. Fomin V. E., On differential geometry with infinite dimension, Trudy Sem. Kaf. Geometrii, 7, Kazan’, Kazan’sk. gos. Univ. (1974). (1974) MR0400284
  3. Fomin V. E., On the infinite dimensional space of constant curvature, Trudy Sem. Kaf. Geometrii, 8, Kazan’, Kazan’sk. gos. Univ. (1975). (1975) MR0431250
  4. Levi-Civita T., Sulle transformationi delle equazioni dinamiche, Ann. Mat. Milano 24, 2 (1896), 255-300. 
  5. Mikeš J., On F- and f-planar mappings, transformations, and deformations, Geom. of Generalized Spaces, Penza (1992), 60-65 (1992) MR1265508
  6. Mikeš J., Geodesic mappings of affine-connected and Riemannian spaces, J. of Math. Sci., New York, 1996. (1996) Zbl0866.53028MR1384327
  7. Sinyukov N. S., Geodesic mapping of Riemannian spaces, Nauka, Moscow, 1979. (1979) MR0552022
  8. Yano K., Union curves and subpaths, Math, J., 1 (1948), 51-59. (1948) Zbl0041.09501MR0028090

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