Quasi-Riemannian structures on supermanifolds and characteristic classes

E. A. Mosman, A. A. Sharapov

Research output: Contribution to journalArticle

Abstract

The notion of a quasi-Riemannian metric being an alternative to generalization of the Riemann metrics to supermanifolds is introduced. Unlike standard supermetrics, the quasi-Riemannian metrics exist on arbitrary supermanifolds, though they are not supersymmetric under the permutation of indices. The application of the quasi-Riemannian structures to the theory of characteristic classes of supermanifolds is considered.

Original languageEnglish
Pages (from-to)668-672
Number of pages5
JournalRussian Physics Journal
Volume54
Issue number6
DOIs
Publication statusPublished - Oct 2011
Externally publishedYes

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Keywords

  • characteristic classes
  • Riemannian metric
  • supermanifolds

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Quasi-Riemannian structures on supermanifolds and characteristic classes. / Mosman, E. A.; Sharapov, A. A.

In: Russian Physics Journal, Vol. 54, No. 6, 10.2011, p. 668-672.

Research output: Contribution to journalArticle

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