Chen's inequality in the Lagrangian case

• Autorzy: Teodor Oprea
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 49K35: Minimax problems
• 53C21: Methods of Riemannian geometry, including PDE methods; curvature restrictions
• 53C24: Rigidity results
• 53C25: Special Riemannian manifolds (Einstein, Sasakian, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2007
• Tom: 108
• Numer: 1
• Strony: 163-169

Daty

wydano

2007

Twórcy

autor

Teodor Oprea

• Faculty of Mathematics and Informatics, University of Bucharest, Str. Academiei 14, 010014 Bucureşti, Romania

Identyfikatory

DOI

10.4064/cm108-1-15