Symplectic 4-manifolds with Hermitian Weyl tensor-Reference-Cited by-同舟云学术

Symplectic 4-manifolds with Hermitian Weyl tensor

Published:2000-06-13 Issue:10 Volume:352 Page:4501-4513
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Apostolov Vestislav,Armstrong John

Abstract

It is proved that any compact almost Kähler, Einstein 4-manifold whose fundamental form is a root of the Weyl tensor is necessarily Kähler.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/2000-352-10/S0002-9947-00-02624-6/S0002-9947-00-02624-6.pdf

Reference23 articles.

1. The Riemannian Goldberg-Sachs theorem;Apostolov, V.;Internat. J. Math.,1997

2. V. Apostolov and T. Draghici, Almost Kähler 4-manifolds with 𝐽-invariant Ricci tensor and special Weyl tensor, Quart. J. Math. Oxford Ser.(2), to appear.

3. On four-dimensional almost Kähler manifolds;Armstrong, John;Quart. J. Math. Oxford Ser. (2),1997

4. J. Armstrong, An Ansatz for Almost-Kähler, Einstein 4-manifolds, preprint, 1997.

5. J. Armstrong, Almost Kähler Geometry, Ph.D. Thesis, Oxford, 1998.

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