[图书][B] Riemannian manifolds and homogeneous geodesics
V Berestovskii, Y Nikonorov - 2020 - Springer
The main purpose of this book is to give an exposition of recent results (obtained with the
essential participation of the authors) on geodesic orbit Riemannian manifolds and their …
essential participation of the authors) on geodesic orbit Riemannian manifolds and their …
Killing vector fields of constant length on Riemannian manifolds
VN Berestovskii, YG Nikonorov - Siberian Mathematical Journal, 2008 - Springer
We study the nontrivial Killing vector fields of constant length and the corresponding flows
on complete smooth Riemannian manifolds. Various examples are constructed of the Killing …
on complete smooth Riemannian manifolds. Various examples are constructed of the Killing …
Riemannian manifolds with positive sectional curvature
O Dearricott, F Galaz-García, L Kennard… - Geometry of Manifolds …, 2014 - Springer
Riemannian Manifolds with Positive Sectional Curvature | SpringerLink Skip to main content
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Advertisement SpringerLink Account Menu Find a journal Publish with us Track your research …
Biquotients with singly generated rational cohomology
V Kapovitch, W Ziller - Geometriae Dedicata, 2004 - Springer
Biquotients with Singly Generated Rational Cohomology Page 1 Biquotients with Singly
Generated Rational Cohomology VITALI KAPOVITCH1,? and WOLFGANG ZILLER2 …
Generated Rational Cohomology VITALI KAPOVITCH1,? and WOLFGANG ZILLER2 …
On the curvature of biquotients
M Kerin - Mathematische Annalen, 2012 - Springer
As a means to better understanding manifolds with positive curvature, there has been much
recent interest in the study of non-negatively curved manifolds which contain either a point …
recent interest in the study of non-negatively curved manifolds which contain either a point …
Killing vector fields of constant length on locally symmetric Riemannian manifolds
VN Berestovskiĭ, YG Nikonorov - Transformation Groups, 2008 - Springer
In this paper nontrivial Killing vector fields of constant length and the corresponding ows on
smooth complete Riemannian manifolds are investigated. It is proved that such a ow on …
smooth complete Riemannian manifolds are investigated. It is proved that such a ow on …
On the topology of positively curved Bazaikin spaces
LA Florit, W Ziller - Journal of the European Mathematical Society, 2009 - ems.press
In this note we study the topology of the positively curved Bazaikin spaces. We show that the
only Bazaikin space that is homotopically equivalent to a homogeneous space is the Berger …
only Bazaikin space that is homotopically equivalent to a homogeneous space is the Berger …
Римановы многообразия и однородные геодезические
ВН Берестовский, ЮГ Никоноров - 2012 - elibrary.ru
В монографии излагаются как классические, так и недавно полученные результаты о
векторных полях Киллинга и порождаемых ими однопараметрических группах …
векторных полях Киллинга и порождаемых ими однопараметрических группах …
Topological classification of Bazaikin spaces
F Fang, W Shen - arXiv preprint arXiv:2307.13303, 2023 - arxiv.org
Geometry of manifolds with positive sectional curvature has been a central object dates back
to the beginning of Riemannian geometry. Up to homeomorphism, there are only finitely …
to the beginning of Riemannian geometry. Up to homeomorphism, there are only finitely …
Totally geodesic embeddings of 7-manifolds in positively curved 13-manifolds
O Dearricott, JH Eschenburg - manuscripta mathematica, 2004 - Springer
We demonstrate a correspondence between the set of Bazaikin spaces with a subset of Aloff-
Wallach and Eschenburg spaces. We show that each Bazaikin space contains at least one …
Wallach and Eschenburg spaces. We show that each Bazaikin space contains at least one …