Blaschke Conjecture

The only Wiedersehen surfaces are the standard round spheres. The conjecture was proven by combining the Berger-Kazdan comparison theorem with A. Weinstein's results for n even and C. T. Yang's for n odd. Green (1963) obtained the first proof of the Blaschke's conjecture in the two-dimensional case.

See also

Wiedersehen Surface

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Chavel, I. Riemannian Geometry: A Modern Introduction. New York: Cambridge University Press, 1994.Green, L. W., "Auf Wiedersehensflächen." Ann. Math. 78, 289-299, 1963.

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Blaschke Conjecture

Cite this as:

Weisstein, Eric W. "Blaschke Conjecture." From MathWorld--A Wolfram Web Resource.

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