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The rigidity theorem for Landsberg hypersurfaces of a Minkowski space

Jin Tang Li (2012)

Annales Polonici Mathematici

Let Mⁿ be a compact Landsberg hypersurface of a Minkowski space ( V n + 1 , F ̅ ) with constant mean curvature H. Using the Gauss formula for the Chern connection of Finsler submanifolds, we prove that if M is convex, then M is Riemannian with constant curvature.

The rosettes.

Waldemar Cieslak, Józef Zajac (1986)

Mathematica Scandinavica

The Ruelle rotation of Killing vector fields

Konstantin Athanassopoulos (2009)

Colloquium Mathematicae

We present an explicit formula for the Ruelle rotation of a nonsingular Killing vector field of a closed, oriented, Riemannian 3-manifold, with respect to Riemannian volume.

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