Geometry of, and via, symmetries
K Grove - University Lecture Series-American Mathematical …, 2002 - books.google.com
It is well known that Lie groups and homogeneous spaces provide a rich source of
interesting examples for a variety of geometric aspects. Likewise it is often the case that …
interesting examples for a variety of geometric aspects. Likewise it is often the case that …
Revisiting homogeneous spaces with positive curvature
B Wilking, W Ziller - Journal für die reine und angewandte …, 2018 - degruyter.com
It was recently observed by M. Xu and J. Wolf that there is a gap in Berard Bergery's
classification of odd-dimensional positively curved homogeneous spaces. Since this …
classification of odd-dimensional positively curved homogeneous spaces. Since this …
The evolution of positively curved invariant Riemannian metrics on the Wallach spaces under the Ricci flow
NA Abiev, YG Nikonorov - Annals of Global Analysis and Geometry, 2016 - Springer
This paper is devoted to the study of the evolution of positively curved metrics on the
Wallach spaces SU (3)/T_\max SU (3)/T max, Sp (3)/Sp (1) * Sp (1) * Sp (1) Sp (3)/Sp (1)× …
Wallach spaces SU (3)/T_\max SU (3)/T max, Sp (3)/Sp (1) * Sp (1) * Sp (1) Sp (3)/Sp (1)× …
On the dynamics of a three-dimensional differential system related to the normalized Ricci flow on generalized Wallach spaces
N Abiev - Results in Mathematics, 2024 - Springer
We study the behavior of a three-dimensional dynamical system with respect to some set S
given in 3-dimensional euclidean space. Geometrically such a system arises from the …
given in 3-dimensional euclidean space. Geometrically such a system arises from the …
[PDF][PDF] Isometry groups of homogeneous spaces with positive sectional curvature
K Shankar - Differential Geometry and its Applications, 2001 - core.ac.uk
Isometry groups of homogeneous spaces with positive sectional curvature Page 1 Differential
Geometry and its Applications 14 (2001) 57–78 57 North-Holland www.elsevier.com/locate/difgeo …
Geometry and its Applications 14 (2001) 57–78 57 North-Holland www.elsevier.com/locate/difgeo …
Об эволюции римановых метрик положительной кривизны на пространствах Уоллаха под влиянием потока Риччи
НА Абиев, ЮГ Никоноров - Математический форум (Итоги науки. Юг …, 2017 - elibrary.ru
Статья посвящена обзору свежих результатов, связанных с изучением эволюции
римановых метрик положительной кривизны на пространствах Уоллаха $ SU (3)/T …
римановых метрик положительной кривизны на пространствах Уоллаха $ SU (3)/T …
On finite subgroups of compact Lie groups and fundamental groups of Riemannian manifolds
X Su, Y Wang - 2011 - degruyter.com
Let G be a compact Lie group of dimension m, and let Γ be any finite subgroup in G. The
main result in this paper is that for each m there exists a constant c (m) such that:(i) for …
main result in this paper is that for each m there exists a constant c (m) such that:(i) for …