Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

On Norden Metrics which Are Locally Conformal to Anti-Kählerian Metrics

On Norden Metrics which Are Locally Conformal to Anti-Kählerian Metrics We build examples of Norden metrics on Σ × S 1, where Σ ⊂ R 2 n n is either a pseudosphere or a pseudohyperbolic space. These turn out to be locally conformal to flat anti-Kählerian metrics, strongly non anti-Kählerian, and with a parallel Lee form. Conversely, any connected complete anti-Hermitian manifold possessing these properties is shown to be locally analytically homothetic to Σ × S 1. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Applicandae Mathematicae Springer Journals

On Norden Metrics which Are Locally Conformal to Anti-Kählerian Metrics

Loading next page...
 
/lp/springer-journals/on-norden-metrics-which-are-locally-conformal-to-anti-k-hlerian-5aiyhmdy2j

References (20)

Publisher
Springer Journals
Copyright
Copyright © 2000 by Kluwer Academic Publishers
Subject
Mathematics; Mathematics, general; Computer Science, general; Theoretical, Mathematical and Computational Physics; Complex Systems; Classical Mechanics
ISSN
0167-8019
eISSN
1572-9036
DOI
10.1023/A:1006354630911
Publisher site
See Article on Publisher Site

Abstract

We build examples of Norden metrics on Σ × S 1, where Σ ⊂ R 2 n n is either a pseudosphere or a pseudohyperbolic space. These turn out to be locally conformal to flat anti-Kählerian metrics, strongly non anti-Kählerian, and with a parallel Lee form. Conversely, any connected complete anti-Hermitian manifold possessing these properties is shown to be locally analytically homothetic to Σ × S 1.

Journal

Acta Applicandae MathematicaeSpringer Journals

Published: Sep 30, 2004

There are no references for this article.