References
[BGM] Berger, M., Gauduchon, P., Mazet, E.: Le spectre d'une variété Riemannienne. (Lecture Notes in Math., Vol. 194) Berlin-Heidelberg-New York: Springer 1971
[D] Dazord, P.: Sur la géométrie des sous-fibrés et des feuilletages lagrangiens. Ann. Sci Éc. Norm Super, IV Ser.13, 465–480 (1981)
[F] Floer, A.: Morse theory for lagrangian intersections. J. Differ. Geom.28, 513–547 (1988)
[G] Givental, A.: A letter to A. Weinstein (1988)
[GS] Guillemin, V., Sternberg, S.: Geometric Asymptotics. (Math. Surveys, Vol. 14). Providence, R.I.: Am. Math. Soc. 1977
[He] Helgason, S.: Differential geometry, Lie Groups and Symmetric Spaces. New York: Academic Press 1978
[Hs] Hsiang, W.Y.: On compact homogenous minimal submanifolds. Proc. Natl. Acad. Sci. USA56, 5–6 (1966)
[K] Kleiner, B.: Private discussion
[KN] Kobayashi, S., Nomizu, K.: Foundations of differential Geometry, Vol II. New York: Wiley-Interscience 1969
[L] Le, H.V.: Stability of minimal Φ-lagrangian submanifolds, first Chern form and Maslov-Trofimov index. Preprint
[LS] Lawson, B., Simons, J.: On stable currents and their applications to global problems in real and complex geometry. Ann Math.98, 427–450 (1973)
[O] Oh, Y.-G.: Floer cohomology of symmetric lagrangian submanifolds. MSRI preprint (1989)
[S] Simons, J.: Minimal varieties in Riemannian manifolds. Ann Math.88, 82–105 (1968)
[T] Takeuchi, M.: Stability of certain minimal submanifolds of compact Hermitian symmetric spaces. Tohoku Math. J.36, 293–314 (1984)
[TK] Takeuchi, M., Kobayashi, S.: Minimal embeddings ofR-symmetric spaces. J. Differ. Geom.2, 203–215 (1968)
[W] Weinstein, A.: Connections of Berry and Hannay type for moving lagrangian submanifolds. Preprint (1988)
Author information
Authors and Affiliations
Additional information
Research at MSRI supported in part by NSF Grant DMS-8505550
Oblatum 12-VI-1989 & 16-VIII-1989
Rights and permissions
About this article
Cite this article
Oh, YG. Second variation and stabilities of minimal lagrangian submanifolds in Kähler manifolds. Invent Math 101, 501–519 (1990). https://doi.org/10.1007/BF01231513
Issue Date:
DOI: https://doi.org/10.1007/BF01231513