CURVATURE STRUCTURE OF SELF-DUAL 4-MANIFOLDS-Reference-Cited by-同舟云学术

CURVATURE STRUCTURE OF SELF-DUAL 4-MANIFOLDS

Published:2008-11 Issue:07 Volume:05 Page:1191-1204
ISSN:0219-8878
Container-title:International Journal of Geometric Methods in Modern Physics
language:en
Short-container-title:Int. J. Geom. Methods Mod. Phys.

Author:

BLAŽIĆ NOVICA,GILKEY PETER¹,NIKČEVIĆ STANA²,STAVROV IVA³

Affiliation:

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

2. Mathematical Institute, Sanu, Knez Mihailova 35, p.p. 367, 11001 Belgrade, Serbia

3. Department of Mathematical Sciences, Lewis and Clark College, 0615 SW Palatine Hill Road, MSC 110, Portland, Oregon, 97219, USA

Abstract

We show the existence of a modified Cliff(1,1)-structure compatible with an Osserman 0-model of signature (2,2). We then apply this algebraic result to certain classes of pseudo-Riemannian manifolds of signature (2,2). We obtain a new characterization of the Weyl curvature tensor of an (anti-)self-dual manifold and we prove some new results regarding (Jordan) Osserman manifolds.

Publisher

World Scientific Pub Co Pte Lt

Subject

Physics and Astronomy (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219887808003259

Reference20 articles.

1. Osserman pseudo-Riemannian manifolds of signature (2,2)

2. CONFORMALLY OSSERMAN MANIFOLDS AND CONFORMALLY COMPLEX SPACE FORMS

3. SOME HIGHLIGHTS OF DMITRY ALEKSEEVSKY'S WORK

4. Conformally Osserman four-dimensional manifolds whose conformal Jacobi operators have complex eigenvalues

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. Curvature models of conformally flat Walker (2,2)-manifolds;International Journal of Geometric Methods in Modern Physics;2019-05

2. UNIVERSAL CURVATURE IDENTITIES III;INT J GEOM METHODS M;2013

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

4. Conformally Osserman manifolds of dimension 16 and a Weyl–Schouten theorem for rank-one symmetric spaces;Annali di Matematica Pura ed Applicata;2011-04-13

5. GEOMETRIC REALIZATIONS OF KAEHLER AND OF PARA-KAEHLER CURVATURE MODELS;International Journal of Geometric Methods in Modern Physics;2010-05