A+ CATEGORY SCIENTIFIC UNIT

Semi-parallel CR submanifolds in a complex space form

Volume 124 / 2011

Mayuko Kon Colloquium Mathematicum 124 (2011), 237-246 MSC: Primary 53C40, 53C55; Secondary 53C25. DOI: 10.4064/cm124-2-8

Abstract

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 $2$.

Authors

  • Mayuko KonFaculty of Education
    Shinshu University
    6-Ro, Nishinagano, Nagano City 380-8544, Japan
    e-mail

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