02438oam 2200505 450 99641819440331620210417230115.03-030-56658-710.1007/978-3-030-56658-6(CKB)4100000011558779(DE-He213)978-3-030-56658-6(MiAaPQ)EBC6386022(PPN)25250397X(EXLCZ)99410000001155877920210417d2020 uy 0engurnn|008mamaatxtrdacontentcrdamediacrrdacarrierRiemannian manifolds and homogeneous geodesics /Valerii Berestovskii, Yurii Nikonorov1st ed. 2020.Cham, Switzerland :Springer,[2020]©20201 online resource (XXII, 482 p. 1 illus.) Springer monographs in mathematics3-030-56657-9 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 of Killing vector fields, presenting both classical and modern results, some very recent, many of which are due to the authors. The main focus is on the class of Riemannian manifolds with homogeneous geodesics and on some of its important subclasses. To keep the exposition self-contained the book also includes useful general results not only on geodesic orbit manifolds, but also on smooth and Riemannian manifolds, Lie groups and Lie algebras, homogeneous Riemannian manifolds, and compact homogeneous Riemannian spaces. The intended audience is graduate students and researchers whose work involves differential geometry and transformation groups.Springer monographs in mathematics.Geometry, DifferentialTopological Groups, Lie GroupsConvex and Discrete GeometryGeometry, Differential.Topological Groups, Lie Groups.Convex and Discrete Geometry.516.36Berestovskii Valerii1065690Nikonorov YuriiMiAaPQMiAaPQUtOrBLWBOOK996418194403316Riemannian manifolds and homogeneous geodesics2547530UNISA