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Matematicheskie Zametki, 2007, Volume 81, Issue 5, Pages 666–675
DOI: https://doi.org/10.4213/mzm3711 (Mi mzm3711) 		 
Chern–Lashof Absolute Curvature of Complex Submanifolds and Volumes of Grassmann Images

A. A. Borisenko, O. V. Leibina

V. N. Karazin Kharkiv National University
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DOI: https://doi.org/10.4213/mzm3711
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.
Received: 13.02.2004
Revised: 23.05.2005
English version:
Mathematical Notes, 2007, Volume 81, Issue 5, Pages 596–604
DOI: https://doi.org/10.1134/S0001434607050033
Bibliographic databases:
UDC: 514
Language: Russian
Citation: A. A. Borisenko, O. V. Leibina, “Chern–Lashof Absolute Curvature of Complex Submanifolds and Volumes of Grassmann Images”, Mat. Zametki, 81:5 (2007), 666–675; Math. Notes, 81:5 (2007), 596–604
Citation in format AMSBIB
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