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Chern-Lashof absolute curvature of complex submanifolds and volumes of Grassmann images |
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| Authors: | A. A. Borisenko O. V. Leibina |
| Affiliation: | (1) Karazin National University, Khar’kov, Russia |
| Abstract: | We introduce an analog of the Chern-Lashof absolute curvature for complex submanifolds in complex Euclidean spaces. A relation between this curvature and the volume of the Grassmann image of the submanifold is established. |
| Keywords: | complex submanifold Grassmann image Chern-Lashof absolute curvature total curvature Riemannian metric complex projective space |
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