Four-dimensional almost Kähler Einstein manifolds

K. Sekigawa; L. Vanhecke

doi:10.1007/bf01765316

journal article Dec 01, 1990

Four-dimensional almost Kähler Einstein manifolds

K. Sekigawa L. Vanhecke

Annali di Matematica Pura ed Applicata Vol. 157 No. 1 pp. 149-160 · Springer Science and Business Media LLC

View at Publisher Save 10.1007/bf01765316

Topics

No keywords indexed for this article. Browse by subject →

References

13

[1]

Integrability of almost Kaehler manifolds

S. I. Goldberg

Proceedings of the American Mathematical Society 1969 10.1090/s0002-9939-1969-0238238-1

[2]

A. Gray -M. Barros -A. M. Naveira -L. Vanhecke,The Chern numbers of holomorphic vector bundles and formally holomorphic connections of complex vector bundles over almost complex manifolds, J. Reine Angew. Math.,314 (1980), pp. 84–98.

[3]

S. Kobayashi -K. Nomizu,Foundations of differential geometry, II, Interscience Publ., New York (1969).

[4]

K. Kodaira,On the structure of complex analytic surfaces, I, Amer. J. Math.,86 (1964), pp. 751–798. 10.2307/2373157

[5]

P. Libermann,Classification and conformal properties of almost Hermitian structures, Differential Geometry, János Bolyai Soc.,31, Budapest (1979), pp. 371–391.

[6]

Z. Olszak,A note on almost Kähler manifolds, Bull. Acad. Pol. Soi. sér. Soi. Math. Astronom. Phys.,26 (1978), pp. 139–141.

[7]

K. Sekigawa,On some 4-dimensional compact Einstein almost Kähler manifolds, Math. Ann.,271 (1985), pp. 333–337. 10.1007/bf01456071

[8]

K. Sekigawa,On some compact Einstein almost Kähler manifolds, J. Math. Soc. Japan,39 (1987), pp. 677–684. 10.2969/jmsj/03940677

[9]

K. Sekigawa,On some 4-dimensional compact almost Hermitian manifolds, J. Ramanujan Math. Soc.,2 (1987), pp. 101–116.

[10]

S. Tachibana,On almost-analytic vectors in almost-Kählerian manifolds, Tôhoku Math. J.,11 (1959), pp. 247–265. 10.2748/tmj/1178244584

[11]

W. P. Thurston,Some simple examples of symplectic manifolds, Proc. Amer. Math. Soc.,55 (1976), pp. 467–468.

[12]

F. Tricerri -L. Vanhecke,Curvature tensors on almost Hermitian manifolds, Trans. Amer. Math. Soc.,267 (1981), pp. 365–398. 10.1090/s0002-9947-1981-0626479-0

[13]

K. Yano,Differential geometry on complex and almost complex spaces, Pergamon Press, New York (1965).

Metrics

12

Citations

13

References

Details

Published: Dec 01, 1990
Vol/Issue: 157(1)
Pages: 149-160
License: View

Authors

Cite This Article

K. Sekigawa, L. Vanhecke (1990). Four-dimensional almost Kähler Einstein manifolds. Annali di Matematica Pura ed Applicata, 157(1), 149-160. https://doi.org/10.1007/bf01765316

Four-dimensional almost Kähler Einstein manifolds

You May Also Like