Weyl submersions of Weyl manifolds

• Autorzy: Fumio Narita
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 53C25: Special Riemannian manifolds (Einstein, Sasakian, etc.)
• 53A30: Conformal differential geometry

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2007
• Tom: 107
• Numer: 1
• Strony: 119-140

Daty

wydano

2007

Twórcy

autor

Fumio Narita

• Department of Mathematics, Akita National College of Technology, Akita 011-8511, Japan

Identyfikatory

DOI

10.4064/cm107-1-11