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A geometric estimate for a periodic Schrödinger operator

100%

Friedrich T.

Colloquium Mathematicum

2000

tom 83

nr 2

209-216

We estimate from below by geometric data the eigenvalues of the periodic Sturm-Liouville operator $-4{d^2}/{ds^2} + κ^2(s)$ with potential given by the curvature of a closed curve.

Slicing of generalized surfaces with curvature measures and diameter's estimate

86%

Delladio S.

Annales Polonici Mathematici

1996

tom 64

nr 3

267-283

We prove generalizations of Meusnier's theorem and Fenchel's inequality for a class of generalized surfaces with curvature measures. Moreover, we apply them to obtain a diameter estimate.

Ograniczanie wyników

1 Annales Polonici Mathematici

1 Colloquium Mathematicum

1 Delladio S.

1 Friedrich T.

1 2000

1 1996

Wyniki wyszukiwania

A geometric estimate for a periodic Schrödinger operator

Slicing of generalized surfaces with curvature measures and diameter's estimate