Certain class of contact CR-submanifolds of a Sasakian space form
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In this paper we investigate (n +1)(n ≥ 3)-dimensional con- tact CR-submanifolds M of (n−1) contact CR-dimension in a complete simply connected Sasakian space form of constant Φ-holomorphic sec- tional curvature c ≠ −3 which satisfy the condition h(FX, Y )+h(X, FY ) = 0 for any vector fields X, Y tangent to M, where h and F denote the second fundamental form and a skew-symmetric endomorphism (defined by (2.3)) acting on tangent space of M, respectively.
Abstract
In this paper we investigate (n +1)(n ≥ 3)-dimensional con- tact CR-submanifolds M of (n−1) contact CR-dimension in a complete simply connected Sasakian space form of constant Φ-holomorphic sec- tional curvature c ≠ −3 which satisfy the condition h(FX, Y )+h(X, FY ) = 0 for any vector fields X, Y tangent to M, where h and F denote the second fundamental form and a skew-symmetric endomorphism (defined by (2.3)) acting on tangent space of M, respectively.
참고문헌 (9)
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