Conformally flat C-totally real submanifolds of Sasakian space forms |
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Authors: | Paul Verheyen Leopold Verstraelen |
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Institution: | (1) Department Wiskunde, Katholieke Universiteit Leuven, Celestijnenlaan 200B, B-3030 Leuven, Belgium |
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Abstract: | Using the expression for the Laplacian of the square of the length of the second fundamental form of conformally flat minimal C-totally real submanifolds of a Sasakian space form pinchings for scalar curvature and sectional curvature are obtained which imply that the submanifolds must be totally geodesic. |
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