Rigidity of Rank-One Factors of Compact Symmetric Spaces
- [1] Université de Nantes Laboratoire de Mathématiques Jean Leray 2, rue de la Houssinière - BP 92208 44322 Nantes Cedex 3 (France)
Annales de l’institut Fourier (2011)
- Volume: 61, Issue: 2, page 491-509
- ISSN: 0373-0956
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top- J.L.M. Barbosa, An extrinsic rigidity theorem for minimal immersions of into , J. Diff. Geom. 14 (1979), 355-368 Zbl0427.53028MR594706
- I. Chavel, Riemannian Symmetric Spaces of Rank One, (1972), Marcel Dekker Inc., New York Zbl0239.53032MR383304
- S.S. Chern, M. Do Carmo, S. Kobayashi, Minimal submanifolds of the sphere with second fundamental form of constant length, (1970), Springer Verlag Zbl0216.44001MR273546
- D. Fischer-Colbrie, Some rigidity theorems for minimal submanifolds of the sphere, Acta Math. 145 (1980), 29-46 Zbl0464.53047MR558091
- H. Gluck, F. Morgan, W. Ziller, Calibrated geometries in Grassmann manifolds, Comment Math. Helv. 64 (1989), 256-268 Zbl0681.53039MR997365
- W.T. Hsiang, W.Y. Hsiang, Examples of codimension-one closed minimal submanifolds in some symmetric spaces. I., J. Diff. Geom. 15 (1980), 543-551 Zbl0467.53023MR628343
- S. Kobayashi, K. Nomizu, Foundations of Differential Geometry, 2 (1969), Interscience, New York Zbl0175.48504
- H.B. Lawson Jr., Complete minimal surfaces in , Ann. of Math. 92 (1970), 335-374 Zbl0205.52001MR270280
- H.B. Lawson Jr., Rigidity theorems in rank-1 symmetric spaces, J. Diff. Geom. 4 (1970), 349-357 Zbl0199.56401MR267492
- N. Mok, Y.T. Siu, S.-K. Yeung, Geometric Superrigidity, J. Diff. Geom. 113 (1993), 57-83 Zbl0808.53043MR1223224
- L. Simon, Lecture Notes on Geometric Measure Theory, (1983), Australian National University
- J. Simons, Minimal varieties in riemannian manifolds, Ann. Math. 88 (1968), 65-105 Zbl0181.49702MR233295
- D.Č. Thi, Minimal real currents on compact riemannian manifolds, Math. USSR Izv. 11 (1970), 807-820 Zbl0387.49042