𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Cohomogeneity one Riemannian manifolds and Killing fields

✍ Scribed by Fabio Podestà

Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
557 KB
Volume
5
Category
Article
ISSN
0926-2245

No coin nor oath required. For personal study only.

✦ Synopsis

This paper is devoted to the study of isometries of cohomogeneity one Riemannian spaces, namely Riemannian manifolds acted on by a Lie group of isometries G with principal ort';ts of codimension one. We show that, for a class of such manifolds, every one parameter group of isometrics preserves the foliation induced by the action of the Lie group G.

📜 SIMILAR VOLUMES

Invariant monotone vector fields on Riem
Invariant monotone vector fields on Riemannian manifolds
✍ A. Barani; M.R. Pouryayevali 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 528 KB

Various concepts of invariant monotone vector fields on Riemannian manifolds are introduced. Some examples of invariant monotone vector fields are given. Several notions of invexities for functions on Riemannian manifolds are defined and their relations with invariant monotone vector fields are stud

RETRACTED: Cohomogeneity One Manifolds o
RETRACTED: Cohomogeneity One Manifolds of Spin(7) and G2 Holonomy
✍ M. Cvetič; G.W. Gibbons; H. Lu; C.N. Pope 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 327 KB

In this paper, we look for metrics of cohomogeneity one in D = 8 and D = 7 dimensions with Spin(7) and G 2 holonomy, respectively. In D = 8, we first consider the case of principal orbits that are S 7 , viewed as an S 3 bundle over S 4 with triaxial squashing of the S 3 fibres. This gives a more gen