Classification of Flat Lagrangian H-umbilical Submanifolds in Indefinite Complex Euclidean spaces

Year 2019, Volume: 12 Issue: 2, 268 - 275, 03.10.2019

Shangrong Deng

Abstract

In this article, we completely characterize flat Lagrangian H-umbilical submanifolds in the

indefinite complex Euclidean spaces Cns

. Consequently, in conjunction with a result from [4],

Lagrangian H-umbilical submanifolds in the indefinite complex Euclidean n-space Cns

with n > 2

are completely classified.

Keywords

H-umbilical submanifolds, Lagrangian submanifolds

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