GEOMETRIC REALIZATIONS OF KAEHLER AND OF PARA-KAEHLER CURVATURE MODELS

Author:

BROZOS-VÁZQUEZ M.1,GILKEY P.2,MERINO E.3

Affiliation:

1. E. U. P. Ferrol, University of A Coruña, Spain

2. Mathematics Department, University of Oregon, Eugene OR 97403, USA

3. E. P. S. Ferrol, University of a Coruña, Spain

Abstract

We show that every Kaehler algebraic curvature tensor is geometrically realizable by a Kaehler manifold of constant scalar curvature. We also show that every para-Kaehler algebraic curvature tensor is geometrically realizable by a para-Kaehler manifold of constant scalar curvature.

Publisher

World Scientific Pub Co Pte Lt

Subject

Physics and Astronomy (miscellaneous)

Cited by 7 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Weyl-Euler-Lagrange Equations of Motion on Flat Manifold;Advances in Mathematical Physics;2015

2. Transplanting geometrical structures;Differential Geometry and its Applications;2013-06

3. Applications of Affine and Weyl Geometry;Synthesis Lectures on Mathematics and Statistics;2013-05-21

4. Complex Osserman Kähler manifolds in dimension four;Forum Mathematicum;2013-01-01

5. (para)-Kähler Weyl Structures;Recent Trends in Lorentzian Geometry;2012

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