A+ CATEGORY SCIENTIFIC UNIT

Weyl submersions of Weyl manifolds

Volume 107 / 2007

Fumio Narita Colloquium Mathematicum 107 (2007), 119-140 MSC: 53A30, 53C25. DOI: 10.4064/cm107-1-11

Abstract

We define Weyl submersions, for which we derive equations analogous to the Gauss and Codazzi equations for an isometric immersion. We obtain a necessary and sufficient condition for the total space of a Weyl submersion to admit an Einstein–Weyl structure. Moreover, we investigate the Einstein–Weyl structure of canonical variations of the total space with Einstein–Weyl structure.

Authors

  • Fumio NaritaDepartment of Mathematics
    Akita National College of Technology
    Akita 011-8511, Japan
    e-mail

Search for IMPAN publications

Query phrase too short. Type at least 4 characters.

Rewrite code from the image

Reload image

Reload image