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Chen's inequality in the Lagrangian case

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Oprea T.

Colloquium Mathematicum

2007

tom 108

nr 1

163-169

In the theory of submanifolds, the following problem is fundamental: establish simple relationships between the main intrinsic invariants and the main extrinsic invariants of submanifolds. The basic relationships discovered until now are inequalities. To analyze such problems, we follow the idea of C. Udrişte that the method of constrained extremum is a natural way to prove geometric inequalities. We improve Chen's inequality which characterizes a totally real submanifold of a complex space form. For that we suppose that the submanifold is Lagrangian and we formulate and analyze a suitable constrained extremum problem.

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1 Colloquium Mathematicum

1 Oprea T.

1 2007

Wyniki wyszukiwania

Chen's inequality in the Lagrangian case