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.
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Original Russian Text © A. A. Borisenko, O. V. Leibina, 2007, published in Matematicheskie Zametki, 2007, Vol. 81, No. 5, pp. 666–675.
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Borisenko, A.A., Leibina, O.V. Chern-Lashof absolute curvature of complex submanifolds and volumes of Grassmann images. Math Notes 81, 596–604 (2007). https://doi.org/10.1134/S0001434607050033
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DOI: https://doi.org/10.1134/S0001434607050033