Displaying similar documents to “Cauchy-Riemann submanifolds of Kaehlerian Finsler spaces.”

On Finsler connections.

Angel Montesinos (1979)

Revista Matemática Hispanoamericana

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A new definition for lifts and lowerings is given, linking the different tensor algebras involved in the usual treatment of Finsler manifolds. By means of them, the relation between the different classes of linear connections is made clearer.

Volume comparison theorem for tubular neighborhoods of submanifolds in Finsler geometry and its applications

Bing-Ye Wu (2014)

Annales Polonici Mathematici

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We consider the distance to compact submanifolds and study volume comparison for tubular neighborhoods of compact submanifolds. As applications, we obtain a lower bound for the length of a closed geodesic of a compact Finsler manifold. When the Finsler metric is reversible, we also provide a lower bound of the injectivity radius. Our results are Finsler versions of Heintze-Karcher's and Cheeger's results for Riemannian manifolds.