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.
First Page:
Show
Hide
Primary Subjects:
53C40
Full-text: Access denied (no subscription
detected)
We're sorry, but we are unable to provide
you with the full text of this article because we are not able to identify
you as a subscriber.
If you have a personal subscription to
this journal, then please login. If you are already logged in, then you
may need to update your profile to register your subscription. Read more about accessing full-text
Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.jdg/1214429775
Mathematical Reviews number (MathSciNet): MR0298593
Zentralblatt MATH identifier: 0219.53045
References
[1] E. Bombieri, E. De Giorgi and E. Giusti, Minimal cones and the Bernstein problem, Invent. Math, 7 (1969) 243-268.
Zentralblatt MATH: 0183.25901
Mathematical Reviews (MathSciNet): MR250205
Digital Object Identifier: doi:10.1007/BF01404309
[2] P. Byrd and M. Friedman, Handbook of elliptic integrals for engineers and physicists, Springer, Berlin, 1954.
Zentralblatt MATH: 0055.11905
Mathematical Reviews (MathSciNet): MR60642
[3] 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.
Zentralblatt MATH: 0216.44001
Mathematical Reviews (MathSciNet): MR273546
[4] R. Courant, Calculus of variations, Lecture notes, New York University, 1946.
[5] S. Helgason, Differential geometry and symmetric spaces, Academic Press, New York, 1962.
Zentralblatt MATH: 0111.18101
Mathematical Reviews (MathSciNet): MR145455
[6] W. C. Hsiang and W. Y. Hsiang, Differentiate actions of compact, connected classical groups. I, Amer. J. Math. 89 (1967) 705-786.
Zentralblatt MATH: 0184.27204
Mathematical Reviews (MathSciNet): MR217213
Digital Object Identifier: doi:10.2307/2373241
JSTOR: links.jstor.org
[7] W. C. Hsiang and W. Y. Hsiang, Differentiate actions of compact, connected classical groups. II, to appear.
Zentralblatt MATH: 0205.53902
[8] W. Y. Hsiang, On the compact, homogeneous minimal submanifolds, Proc. Nat. Acad. Sci. U.S.A. 56 (1966) 5-6.
Zentralblatt MATH: 0178.55904
Mathematical Reviews (MathSciNet): MR205203
Digital Object Identifier: doi:10.1073/pnas.56.1.5
JSTOR: links.jstor.org
[9] W. Y. Hsiang, On the compact, Remarks on closed minimal submanifolds in the standard Riemannian m-sphere, J. Differential Geometry 1(1967) 257-267.
Zentralblatt MATH: 0168.42904
Mathematical Reviews (MathSciNet): MR225244
Project Euclid: euclid.jdg/1214428093
[10] W. Y. Hsiang, On the compact, A survey on regularity theorems in differentiable, compact transformation groups, Proc. Conf. on Transformation Groups, Springer, Berlin, 1968.
Zentralblatt MATH: 0203.26202
Mathematical Reviews (MathSciNet): MR256416
[11] S. Kobayashi and N. Nomizu, Foundations of differential geometry, Vol. II, Interscience, New York, 1969.
Zentralblatt MATH: 0175.48504
[12] H. B. Lawson, Jr., Local rigidity theorems for minimal hypersurfaces, Ann. of Math. 89 (1969) 187-197.
Zentralblatt MATH: 0174.24901
Mathematical Reviews (MathSciNet): MR238229
Digital Object Identifier: doi:10.2307/1970816
[13] H. B. Lawson, Jr., Complete minimal surfaces in S8, Ann. of Math. 90 (1970), 335-374.
Zentralblatt MATH: 0205.52001
[14]H. B. Lawson, Jr., Rigidity theorems in rank-X symmetric spaces, J. Differential Geometry 4 (1970) 349-357.
Zentralblatt MATH: 0199.56401
Mathematical Reviews (MathSciNet): MR267492
Project Euclid: euclid.jdg/1214429508
[15] H. B. Lawson, Jr., The equivariant Plateau problem and interior regularity, to appear.
Zentralblatt MATH: 0279.49043
[16] J. Milnor, Morse theory, Ann. of Math. Studies, No. 51, Princeton University Press, Princeton, 1963.
Zentralblatt MATH: 0108.10401
Mathematical Reviews (MathSciNet): MR163331
[17] S. Myers and N. Steenrod, The group of isometries of a Riemannian manifold, Ann. of Math. 40 (1939) 400.
Zentralblatt MATH: 0021.06303
Mathematical Reviews (MathSciNet): MR1503467
Digital Object Identifier: doi:10.2307/1968928
JSTOR: links.jstor.org
[18] D. Montgomery and H. Samelson, Transformation groups of spheres, Ann. of Math. 44 (1943) 454-470.
Zentralblatt MATH: 0063.04077
Mathematical Reviews (MathSciNet): MR8817
Digital Object Identifier: doi:10.2307/1968975
JSTOR: links.jstor.org
[19] D. Montgomery, H. Samelson and C. T. Yang, Exceptional orbits of highest dimension, Ann. of Math. 64 (1956) 131-141.
Zentralblatt MATH: 0074.26001
Mathematical Reviews (MathSciNet): MR78644
Digital Object Identifier: doi:10.2307/1969951
JSTOR: links.jstor.org
[20] D. Montgomery and C. T. Yang, The existence of a slice, Ann. of Math. 65 (1957) 108-116.
Zentralblatt MATH: 0078.16202
Mathematical Reviews (MathSciNet): MR87036
Digital Object Identifier: doi:10.2307/1969667
JSTOR: links.jstor.org
[21] G. D. Mostow, Equivariant imbeddings in Euclidean spaces, Ann. of Math. 65 (1957) 432-446.
Zentralblatt MATH: 0080.16701
Mathematical Reviews (MathSciNet): MR87037
Digital Object Identifier: doi:10.2307/1970055
JSTOR: links.jstor.org
[22] B. O'Neill, The fundamental equations of a submersion, Michigan Math. J. 13 (1966) 459-469.
Zentralblatt MATH: 0145.18602
Mathematical Reviews (MathSciNet): MR200865
Digital Object Identifier: doi:10.1307/mmj/1028999604
Project Euclid: euclid.mmj/1028999604
[23] T. Otsuki, Minimal hypersurfaces in a Riemannian manifold of constant curvature, Amer. J. Math. 92 (1970) 145-173.
Zentralblatt MATH: 0196.25102
Mathematical Reviews (MathSciNet): MR264565
Digital Object Identifier: doi:10.2307/2373502
JSTOR: links.jstor.org
[24] J. Simons, Minimal varieties in Riemannian manifolds, Ann. of Math. 88 (1968) 62-105.
Zentralblatt MATH: 0181.49702
Mathematical Reviews (MathSciNet): MR233295
Digital Object Identifier: doi:10.2307/1970556
JSTOR: links.jstor.org
Journal of Differential Geometry