an:00791150
Zbl 1010.58500
??erne, Miran
Minimal discs with free boundaries in a Lagrangian submanifold of \(\mathbb{C}^n\)
EN
Indiana Univ. Math. J. 44, No. 1, 153-164 (1995).
00027603
1995
j
58E12 32F99
Summary: The question when an energy functional stationary disc \(p\) with free boundary in a Lagrangian submanifold of \(\mathbb{C}^n\) is holomorphic or antiholomorphic is considerd. A partial answer is given in terms of its partial indices [see \textit{J. Globevnik}, Math. Z. 217, No. 2, 287-316 (1994; Zbl 0806.58044)]. It is proved that if all its partial indices are greater or equal to \(-1\), then the stationary disc \(p\) is holomorphic, and if all its partial indices are less or equal to 1, the disc \(p\) is antiholomorphic (a consequence of \textit{Y.-G. Oh} [Kyungpook Math. J. 35, No. 1, 39-75 (1995; Zbl 0853.32017)]).
Zbl 0853.32017; Zbl 0806.58044