Kodai Mathematical Seminar Reports

Notes on Kählerian metrics with vanishing Bochner curvature tensor

Shun-Ichi Tachibana and Richard Chieng Liu

Full-text: Open access

Article information

Source
Kodai Math. Sem. Rep., Volume 22, Number 3 (1970), 313-321.

Dates
First available in Project Euclid: 1 February 2006

Permanent link to this document
https://projecteuclid.org/euclid.kmj/1138846167

Digital Object Identifier
doi:10.2996/kmj/1138846167

Mathematical Reviews number (MathSciNet)
MR0266121

Zentralblatt MATH identifier
0199.25303

Subjects
Primary: 53.80

Citation

Tachibana, Shun-Ichi; Liu, Richard Chieng. Notes on Kählerian metrics with vanishing Bochner curvature tensor. Kodai Math. Sem. Rep. 22 (1970), no. 3, 313--321. doi:10.2996/kmj/1138846167. https://projecteuclid.org/euclid.kmj/1138846167


Export citation

References

  • [1] BOCHNER, S., Curvature and Betti numbers II. Ann. of Math. 50 (1949) 77-93.
  • [2] EUM, S. S., Notes on Kahlerian metric. Kyungpook Math. J. 1 (1958) 13-21
  • [3] ISHIHARA, S., Holomorphically projective changes and their groups in an almos complex manifold. Thoku Math. J. 9 (1959) 273-297.
  • [4] ISHIHARA, S., and S. TACHIBANA, A note on holomorphically projective trans formations of Kahlerian space with parallel Ricci tensor, Thoku Math. J. 13 (1961) 193-200.
  • [5] TACHIBANA, S., On the Bochner curvature tensor. Nat. Science Report of th Ochanomizu Univ. 18 (1967) 15-19.
  • [6] TACHIBANA, S., AND S. ISHIHARA, On infinitesimal holomorphically projectiv transformations in Kahlerian manifolds. Thoku Math. J. 12 (1960) 77-101.
  • [7] TASHIRO, Y., On holomorphicallyprojective correspondences in an almost comple space. Math. J. Okayama Univ. 6 (1957) 147-152.
  • [8] TASHIRO, Y., On conformal and projective transformations in Kahlerian manifolds. Thoku Math. J. 14 (1962) 317-320.
  • [9] YANO, K., Differential geometry on complex and almost complex spaces. Perga mon Press. (1965).
  • [10] YANO, K., AND S. BOCHNER, Curvature and Betti numbers. Ann. of Math. Stud 32 (1953).