The Gauss map for Kählerian submanifolds of 𝑅ⁿ

Rigoli, Marco; Tribuzy, Renato

doi:10.1090/S0002-9947-1992-1040265-9

The Gauss map for Kählerian submanifolds of $\textbf {R}^ n$
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by Marco Rigoli and Renato Tribuzy PDF

Trans. Amer. Math. Soc. 332 (1992), 515-528 Request permission

Abstract:

We introduce a Gauss map for Kähler submanifolds of Euclidean space and study its geometry in relation to that of the given immersion. In particular we generalize a number of results of the classical theory of minimal surfaces in Euclidean space.

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