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Title: Lifts of generalized symmetric spaces to tangent bundles (English)
Title: Lifty zobecněných symetrických prostorů na tečné fibrované prostory (Czech)
Author: Sekizawa, Masami
Language: English
Journal: Časopis pro pěstování matematiky
ISSN: 0528-2195
Volume: 112
Issue: 3
Year: 1987
Pages: 261-268
Summary lang: English
Summary lang: Czech
Summary lang: Russian
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Category: math
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MSC: 53C35
idZBL: Zbl 0639.53057
idMR: MR905973
DOI: 10.21136/CPM.1987.118322
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Date available: 2009-09-23T09:42:23Z
Last updated: 2020-07-29
Stable URL: http://hdl.handle.net/10338.dmlcz/118322
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Reference: [1] J. Černý O. Kowalski: Classification of generalized symmetric pseudo-Riemannian spaces of dimension n ≤ 4.Tensor, N.S. 38 (1982), 255-267. MR 0832656
Reference: [2] A. S. Fedenko: Ѕpaces with symmetries.(Russian, a booklet). Izd. BGU Minsk, 1977.
Reference: [З] P. G. Graham A. J. Ledger: s-rеgular manifolds, Differential Geomеtry - in honor of Kentaro Yano.Kinokuniya Publ., Tokyo, 1972, 1ЗЗ-144.
Reference: [4] A. Gray: Riemannian manifolds with geodesic symmetries of order З.Ј. Differential Geometry 7 (1972), З4З-З69. Zbl 0275.53026, MR 0331281
Reference: [5] S. Kobayashi K. Nomizu: Foundations of differential geometry II.Interscience Publ., New-York, London, 1969. MR 0238225
Reference: [6] O. Kowalski: Generalized symmetric spaces.Lecture Note in Mathematics 805, Ѕpringer-Verlag, Berlin, Heidelberg, New York, 1980. Zbl 0431.53042, MR 0579184
Reference: [7] A. J. Ledger: Аffine and Riemannian ∑-spaces.Ѕeminar on Mathematical Ѕciences 5, Kеio University, 1982.
Reference: [8] A. J. Ledger M. Obata: Аffinе and Riеmannian s-manifolds.Ј. Diffеrеntial Gеomеtry 2 (1968), 451-459. MR 0244893
Reference: [9] M. Toomanian: Riemannian extensions and completе lifts of s-spaces.Ph. D. Thеsis, Thе Univеrsity, Ѕouthampton, 1975.
Reference: [10] S. Węgrzynowski: Classification of gеnеralizеd affinе symmеtric spacеs of dimеnsion n ≤ 4.Dissеrtationеs Math. 194 (1984), 1 - 77.
Reference: [11] K. Yano S. Kobayashi: Prolongations of tеnsor fiеlds and connеctions to tangеnt bundlеs I.- Gеnеral thеory - Ј. Math. Ѕoc. Јapan 18 (1966), 194-210. MR 0193596
Reference: [12] M. Toomanian: Rеgulaг s-strukturе on TM.Tеnsoг, N. Ѕ. 42 (1985), 225-228.
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