Semi-parallel CR submanifolds in a complex space form

• Autorzy: Mayuko Kon
• Języki publikacji: EN

Abstrakty

EN

We show that there is no proper CR submanifold with semi-flat normal connection and semi-parallel second fundamental form in a complex space form with non-zero constant holomorphic sectional curvature such that the dimension of the holomorphic tangent space is greater than 2.

Kategorie tematyczne

• 53C55: Hermitian and K\"ahlerian manifolds
• 53C25: Special Riemannian manifolds (Einstein, Sasakian, etc.)
• 53C40: Global submanifolds

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2011
• Tom: 124
• Numer: 2
• Strony: 237-246

Daty

wydano

2011

Twórcy

autor

Mayuko Kon

• Faculty of Education, Shinshu University, 6-Ro, Nishinagano, Nagano City 380-8544, Japan

Identyfikatory

DOI

10.4064/cm124-2-8