Non-negatively curved C-totally real submanifolds in a Sasakian manifold (Q1101702)
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scientific article; zbMATH DE number 4046593
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Non-negatively curved C-totally real submanifolds in a Sasakian manifold |
scientific article; zbMATH DE number 4046593 |
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Non-negatively curved C-totally real submanifolds in a Sasakian manifold (English)
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1987
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The main result is the following: Let M be an n-dimensional compact curvature-invariant C-totally real submanifold in a \((2n+1)\)-dimensional Sasakian manifold with \(\eta\)-parallel mean curvature vector field. If the sectional curvature of M is positive, then M is totally geodesic.
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C-totally real submanifold
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Sasakian manifold
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mean curvature vector field
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totally geodesic
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