MINIMAL HYPERSURFACES OF R2m INVARIANT BY SO(ro) x SO(m)

@inproceedings{Alencar2010MINIMALHO,
  title={MINIMAL HYPERSURFACES OF R2m INVARIANT BY SO(ro) x SO(m)},
  author={H. A. Pereira Alencar},
  year={2010}
}
Let G = SO(m) x SO(w) act in the standard way on RTM x RTM , We describe all complete minimal hypersurfaces of Rm\{0} which are invariant under G for m = 2, 3 . We also show that the unique minimal hypersurface of R2m which is invariant under G and passes through the origin of R2m is the minimal quadratic cone. 

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References

Publications referenced by this paper.
SHOWING 1-6 OF 6 REFERENCES

Hipersuperficies mínimas de R2m invariantes por SO(m) x SO(w)

H. Alencar
  • Tese de Doutorado, IMPA,
  • 1988
VIEW 1 EXCERPT

Sobre hipersuperficies com curvatura média constante no espaço hiperbólico

J. de M. Gomes
  • Tese de Doutorado, IMPA,
  • 1984

Helicoids, catenoids and minimal hypersurfaces of R" invariant by an l-parameter group of motions, An

J. L. Barbosa, M. do Carmo
  • Acad. Brasil. Ciênc
  • 1981
VIEW 1 EXCERPT

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