Titlebook: Riemannian Manifolds and Homogeneous Geodesics; Valerii Berestovskii,Yurii Nikonorov Book 2020 Springer Nature Switzerland AG 2020 Geodesi

使服水土

Homogeneous Riemannian Manifolds,annian manifold and topological properties of homogeneous spaces. We consider the infinitesimal structure of homogeneous Riemannian manifolds and the structure of the set of G-invariant Riemannian metrics on a homogeneous space G=H. Moreover, we derive useful formulas for the sectional curvature, th

Irritate

flex336

Generalized Normal Homogeneous Manifolds With Intrinsic Metrics, of geodesic orbit spaces with non-negative sectional curvature, which properly includes the class of all normal homogeneous Riemannian spaces, 2) include naturally reductive compact homogeneous Riemannian manifolds of positive Euler characteristic, 3) are exactly homogeneous spaces .(. + 1) = .(1)

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CHURL

Bernstein-test

Riemannian Manifolds, Synge theorem, the Rauch comparison theorem, the Hadamard–Cartan theorem, and the O’Neill formulas for Riemannian submersions. We also give or indicate some geometric applications of the main results.

BRIDE

Ventricle

1439-7382 self-contained general introduction to the theory of homoge.This book is devoted to Killing vector fields and the one-parameter isometry groups of Riemannian manifolds generated by them. It also provides a detailed introduction to homogeneous geodesics, that is, geodesics that are integral curves o

補(bǔ)角

,Clifford–Wolf Homogeneous Riemannian Manifolds, Clifford–Killing spaces, that is, real vector spaces of Killing vector fields of constant length, on odd-dimensional round spheres, and discuss numerous connections between these spaces and various classical objects. Finally, we consider some results related to restrictively Clifford–Wolf homogeneous Riemannian manifolds.

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