Minimal submanifolds of low cohomogeneity
Wu-yi Hsiang and H. Blaine Lawson, Jr.
Source: J. Differential Geom. Volume 5, Number 1-2 (1971), 1-38.
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Primary Subjects: 53C40
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Links and Identifiers
 E. Bombieri, E. De Giorgi and E. Giusti, Minimal cones and the Bernstein problem, Invent. Math, 7 (1969) 243-268.
 P. Byrd and M. Friedman, Handbook of elliptic integrals for engineers and physicists, Springer, Berlin, 1954.
 S. Chern, S. Kobayashi, and M. do Carmo, Minimal submanifolds of a sphere with second fundamental form of constant length, Functional analysis and related fields, Proc. Conf. in Honor of Marshall Stone, Springer, Berlin, 1970.
 R. Courant, Calculus of variations, Lecture notes, New York University, 1946.
 S. Helgason, Differential geometry and symmetric spaces, Academic Press, New York, 1962.
 W. C. Hsiang and W. Y. Hsiang, Differentiate actions of compact, connected classical groups. I, Amer. J. Math. 89 (1967) 705-786.
 W. C. Hsiang and W. Y. Hsiang, Differentiate actions of compact, connected classical groups. II, to appear.
Zentralblatt MATH: 0205.53902
 W. Y. Hsiang, On the compact, homogeneous minimal submanifolds, Proc. Nat. Acad. Sci. U.S.A. 56 (1966) 5-6.
 W. Y. Hsiang, On the compact, Remarks on closed minimal submanifolds in the standard Riemannian m-sphere, J. Differential Geometry 1(1967) 257-267.
 W. Y. Hsiang, On the compact, A survey on regularity theorems in differentiable, compact transformation groups, Proc. Conf. on Transformation Groups, Springer, Berlin, 1968.
 S. Kobayashi and N. Nomizu, Foundations of differential geometry, Vol. II, Interscience, New York, 1969.
Zentralblatt MATH: 0175.48504
 H. B. Lawson, Jr., Local rigidity theorems for minimal hypersurfaces, Ann. of Math. 89 (1969) 187-197.
 H. B. Lawson, Jr., Complete minimal surfaces in S8, Ann. of Math. 90 (1970), 335-374.
Zentralblatt MATH: 0205.52001
H. B. Lawson, Jr., Rigidity theorems in rank-X symmetric spaces, J. Differential Geometry 4 (1970) 349-357.
 H. B. Lawson, Jr., The equivariant Plateau problem and interior regularity, to appear.
Zentralblatt MATH: 0279.49043
 J. Milnor, Morse theory, Ann. of Math. Studies, No. 51, Princeton University Press, Princeton, 1963.
 S. Myers and N. Steenrod, The group of isometries of a Riemannian manifold, Ann. of Math. 40 (1939) 400.
 D. Montgomery and H. Samelson, Transformation groups of spheres, Ann. of Math. 44 (1943) 454-470.
 D. Montgomery, H. Samelson and C. T. Yang, Exceptional orbits of highest dimension, Ann. of Math. 64 (1956) 131-141.
 D. Montgomery and C. T. Yang, The existence of a slice, Ann. of Math. 65 (1957) 108-116.
 G. D. Mostow, Equivariant imbeddings in Euclidean spaces, Ann. of Math. 65 (1957) 432-446.
 B. O'Neill, The fundamental equations of a submersion, Michigan Math. J. 13 (1966) 459-469.
 T. Otsuki, Minimal hypersurfaces in a Riemannian manifold of constant curvature, Amer. J. Math. 92 (1970) 145-173.