Geodesic
Chern--Lashof Absolute Curvature of Complex Submanifolds and Volumes of Grassmann Images
Matematičeskie zametki, Tome 81 (2007) no. 5, pp. 666-675

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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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     author = {A. A. Borisenko and O. V. Leibina},
     title = {Chern--Lashof {Absolute} {Curvature} of {Complex} {Submanifolds} and {Volumes} of {Grassmann} {Images}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {666--675},
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     volume = {81},
     number = {5},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2007_81_5_a2/}
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A. A. Borisenko; O. V. Leibina. Chern--Lashof Absolute Curvature of Complex Submanifolds and Volumes of Grassmann Images. Matematičeskie zametki, Tome 81 (2007) no. 5, pp. 666-675. http://geodesic.mathdoc.fr/item/MZM_2007_81_5_a2/