Submanifolds with parallel mean curvature vector
Kentaro Yano and Shigeru Ishihara
Source: J. Differential Geom. Volume 6, Number 1
(1971), 95-118.
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.jdg/1214430219
Mathematical Reviews number (MathSciNet): MR0298598
Zentralblatt MATH identifier: 0222.53052
References
[1] S. S. Chern, Minimal submanifolds in a Riemannian manifold, Technical Report 19, University of Kansas, 1968.
Mathematical Reviews (MathSciNet): MR248648
[2] S. S. Chern, M. Do Carmo and S. Kobayashi, 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
[3] S. Kobayashi, and K. Nomizu, Fundations of differential geometry, Vols. I & II, Interscience, New York, 1963 & 1969.
Zentralblatt MATH: 0119.37502
Mathematical Reviews (MathSciNet): MR152974
[4] K. Nomizu and B. Smyth, A formula of Simons' type and hypersurfaces with constant mean curvature, J. Differential Geometry 3 (1969) 367-377.
Zentralblatt MATH: 0196.25103
Mathematical Reviews (MathSciNet): MR266109
Project Euclid: euclid.jdg/1214429059
[5] 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
[6] K. Yano, The theory of Lie derivatives and its applications, North Holland, Amsterdam, 1957.
Zentralblatt MATH: 0077.15802
Mathematical Reviews (MathSciNet): MR88769
Journal of Differential Geometry
