K-contact A-manifolds

WŁodzimierz Jelonek

Colloquium Mathematicae (1998)

  • Volume: 75, Issue: 1, page 97-103
  • ISSN: 0010-1354

Abstract

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The aim of this paper is to give a characterization of regular K-contact A-manifolds.

How to cite

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Jelonek, WŁodzimierz. "K-contact A-manifolds." Colloquium Mathematicae 75.1 (1998): 97-103. <http://eudml.org/doc/210533>.

@article{Jelonek1998,
abstract = {The aim of this paper is to give a characterization of regular K-contact A-manifolds.},
author = {Jelonek, WŁodzimierz},
journal = {Colloquium Mathematicae},
keywords = {-manifold; -contact manifold; Sasakian manifold; almost Kähler manifold; Hodge manifold},
language = {eng},
number = {1},
pages = {97-103},
title = {K-contact A-manifolds},
url = {http://eudml.org/doc/210533},
volume = {75},
year = {1998},
}

TY - JOUR
AU - Jelonek, WŁodzimierz
TI - K-contact A-manifolds
JO - Colloquium Mathematicae
PY - 1998
VL - 75
IS - 1
SP - 97
EP - 103
AB - The aim of this paper is to give a characterization of regular K-contact A-manifolds.
LA - eng
KW - -manifold; -contact manifold; Sasakian manifold; almost Kähler manifold; Hodge manifold
UR - http://eudml.org/doc/210533
ER -

References

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  1. [B] A. Besse, Einstein Manifolds, Springer, Berlin, 1987. 
  2. [Bl] D. E. Blair, Contact Manifolds in Riemannian Geometry, Lecture Notes in Math. 509, Springer, 1976. 
  3. [B-W] W. M. Boothby and H. C. Wang, On contact manifolds, Ann. of Math. 68 (1958), 721-734. Zbl0084.39204
  4. [G] A. Gray, Einstein like manifolds which are not Einstein, Geom. Dedicata 7 (1978), 259-280. Zbl0378.53018
  5. [J-1] W. Jelonek, Some simple examples of almost Kähler non-Kähler structures, Math. Ann. 305 (1996), 639-649. Zbl0858.53027
  6. [J-2] W. Jelonek, On A-tensors in Riemannian geometry, preprint 551, Polish Acad. Sci., 1995. 
  7. [K] S. Kobayashi, Principal fibre bundles with the 1-dimensional toroidal group, Tôhoku Math. J. 8 (1956), 29-45. Zbl0075.32103
  8. [O-1] Z. Olszak, On contact metric manifolds, ibid. 31 (1979), 247-253. 
  9. [O-2] Z. Olszak, Certain property of the Ricci tensor on Sasakian manifolds, Colloq. Math. 40 (1979), 235-237. Zbl0419.53028
  10. [O'N] B. O'Neill, The fundamental equations of a submersion, Michigan Math. J. 13 (1966), 459-469. 
  11. [S-1] K. Sekigawa, On some 4-dimensional compact Einstein almost Kähler manifolds, Math. Ann. 271 (1985), 333-337. Zbl0562.53032
  12. [S-2] K. Sekigawa, On some compact Einstein almost Kähler manifolds, J. Math. Soc. Japan 39 (1987), 677-684. 
  13. [S-V] K. Sekigawa and L. Vanhecke, Symplectic geodesic symmetries on Kähler manifolds, Quart. J. Math. Oxford Ser. (2) 37 (1986), 95-103. Zbl0589.53068

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