A note on the volume of balls on Riemannian manifolds of non-negative curvature
Paweł Grzegorz Walczak (1984)
Annales Polonici Mathematici
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Displaying similar documents to “Geodesic algorithms in Riemannian geometry.”
A note on the volume of balls on Riemannian manifolds of non-negative curvature
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Guangyue Huang, Fanqi Zeng (2016)
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We establish an integral geometric inequality on a closed Riemannian manifold with ∞-Bakry-Émery Ricci curvature bounded from below. We also obtain similar inequalities for Riemannian manifolds with totally geodesic boundary. In particular, our results generalize those of Wu (2014) for the ∞-Bakry-Émery Ricci curvature.
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Udo Simon (1974)
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Luis Guijarro, Peter Petersen (1997)
Annales scientifiques de l'École Normale Supérieure
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...-flat manifolds and Riemannian submersions.
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Convergence of riemannian manifolds with integral bounds on curvature. I
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Lorentzian geometry in the large
John Beem (1997)
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Lorentzian geometry in the large has certain similarities and certain fundamental differences from Riemannian geometry in the large. The Morse index theory for timelike geodesics is quite similar to the corresponding theory for Riemannian manifolds. However, results on completeness for Lorentzian manifolds are quite different from the corresponding results for positive definite manifolds. A generalization of global hyperbolicity known as pseudoconvexity is described. It has important...