Stability of minimal surfaces in spaces of constant curvature

J. L. Barbosa; M. Carmo

doi:10.1007/bf02584874

journal article Mar 01, 1980

Stability of minimal surfaces in spaces of constant curvature

J. L. Barbosa M. Carmo

Boletim da Sociedade Brasileira de Matem�tica Vol. 11 No. 1 pp. 1-10 · Springer Science and Business Media LLC

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References

5

[1]

J. L. Barbosa and M. do Carmo,Stability of minimal surfaces and eigenvalues of the Laplacian, to appear.

[2]

J. L. Barbosa and M. do Carmo,A necessary condition for a metric in M n to be isometrically and minimally immersed in R n+1 , to appear in An. Acad. Brasil Ci.

[3]

S. S. Chern,Minimal submanifolds of a Riemannian manifold, University of Kansas, Dept. of Math., Tech. Rep. 19, Lawrence, Kansas, 1968.

[4]

Minimal Varieties in Riemannian Manifolds

James Simons

The Annals of Mathematics 1968 10.2307/1970556

[5]

S. Smale,On the Morse index theorem, Journal of Math. and Mech, 14 (1965), 1049–1056.

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Details

Published: Mar 01, 1980
Vol/Issue: 11(1)
Pages: 1-10
License: View

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Cite This Article

J. L. Barbosa, M. Carmo (1980). Stability of minimal surfaces in spaces of constant curvature. Boletim da Sociedade Brasileira de Matem�tica, 11(1), 1-10. https://doi.org/10.1007/bf02584874

Stability of minimal surfaces in spaces of constant curvature

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