On complete lifts of reductive homogeneous spaces and generalized symmetric spaces

Masami Sekizawa

Czechoslovak Mathematical Journal (1986)

  • Volume: 36, Issue: 4, page 516-534
  • ISSN: 0011-4642

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Sekizawa, Masami. "On complete lifts of reductive homogeneous spaces and generalized symmetric spaces." Czechoslovak Mathematical Journal 36.4 (1986): 516-534. <http://eudml.org/doc/13601>.

@article{Sekizawa1986,
author = {Sekizawa, Masami},
journal = {Czechoslovak Mathematical Journal},
keywords = {generalized symmetric space; tangent bundle; reductive homogeneous spaces; complete lift; affine reductive space},
language = {eng},
number = {4},
pages = {516-534},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On complete lifts of reductive homogeneous spaces and generalized symmetric spaces},
url = {http://eudml.org/doc/13601},
volume = {36},
year = {1986},
}

TY - JOUR
AU - Sekizawa, Masami
TI - On complete lifts of reductive homogeneous spaces and generalized symmetric spaces
JO - Czechoslovak Mathematical Journal
PY - 1986
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 36
IS - 4
SP - 516
EP - 534
LA - eng
KW - generalized symmetric space; tangent bundle; reductive homogeneous spaces; complete lift; affine reductive space
UR - http://eudml.org/doc/13601
ER -

References

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  9. M. Sekizawa, Lifts of generalized symmetric spaces to tangent bundles, to appear. Zbl0639.53057MR0905973
  10. N. A. Stepanov, The tangent bundle of φ -spaces, Soviet Math. (Iz. VUZ) 27 (1983), 94-103. (1983) MR0694017
  11. M. Toomanian, Riemann extensions and complete lifts of s -spaces, Ph. D. Thesis, The University, Southampton, 1975. (1975) 
  12. M. Toomanian, Killing vectorfields and infinitesimal affine transformations on a generalized Riemann extension, Tensor, N.S. 32 (1978), 335 - 338. (1978) Zbl0384.53020MR0516373
  13. K. Yano, S. Ishihara, Tangent and cotangent bundles, Marcel Dekker, Inc., New York, 1973. (1973) Zbl0262.53024MR0350650
  14. K. Yano, S. Kobayashi, 10.2969/jmsj/01820194, J. Math. Soc. Japan, I 18 (1966), 194-210; II 18 (1966), 236-246. (1966) Zbl0147.21501DOI10.2969/jmsj/01820194
  15. M. Toomanian, Regular s -structure on TM, Tensor, N. S. 42 (1985), 225-228. (1985) Zbl0589.53054MR0847040

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