Geodesic
Semi-parallel CR submanifolds in a complex space form
Mayuko Kon1
1 Faculty of Education Shinshu University 6-Ro, Nishinagano, Nagano City 380-8544, Japan
Colloquium Mathematicum, Tome 124 (2011) no. 2, pp. 237-246

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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 $2$.
DOI : 10.4064/cm124-2-8
Keywords: there proper submanifold semi flat normal connection semi parallel second fundamental form complex space form non zero constant holomorphic sectional curvature dimension holomorphic tangent space greater

Mayuko Kon 1

1 Faculty of Education Shinshu University 6-Ro, Nishinagano, Nagano City 380-8544, Japan 
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Mayuko Kon. Semi-parallel CR submanifolds in
 a complex space form. Colloquium Mathematicum, Tome 124 (2011) no. 2, pp. 237-246. doi: 10.4064/cm124-2-8

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