This article is cited in 7 papers

The minimal $\Phi$-Lagrangian surfaces in almost Hermitian manyfolds

Lê Hông Vân


Abstract: A general method of calibrations is developed for the study of minimal $\Phi$-Lagrangian surfaces in almost-Hermitian manifolds. A criterion for minimality of $\Phi$-Lagrangian surfaces is given, along with a lower bound for the second variation of the volume functional on minimal $\Phi$-Lagrangian surfaces in Hermitian manifolds. The generalized Maslov index of these surfaces is shown to be trivial.
Bibliography: 11 titles.

UDC: 517.97+516.96

MSC: Primary 53C55; Secondary 53C40

Received: 26.10.1987

 English version: Mathematics of the USSR-Sbornik, 1990, 67:2, 379–391

Bibliographic databases:

• 
• 
•