Ball-homogeneous and disk-homogeneous Riemannian manifolds

1982 ◽  
Vol 180 (4) ◽  
pp. 429-444 ◽  
Author(s):  
Old?ich Kowalski ◽  
Lieven Vanhecke
Keyword(s):  
Riemannian Manifolds ◽  
Homogeneous Riemannian Manifolds

Locally homogeneous Riemannian manifolds and Cartan triples

1994 ◽  
Vol 50 (2) ◽  
pp. 143-164 ◽  
Author(s):  
Victor Patrangenaru
Keyword(s):  
Riemannian Manifolds ◽  
Homogeneous Riemannian Manifolds ◽  
Locally Homogeneous

scholarly journals Cyclic homogeneous Riemannian manifolds

2015 ◽  
Vol 195 (5) ◽  
pp. 1619-1637 ◽  
Author(s):  
P. M. Gadea ◽  
J. C. González-Dávila ◽  
J. A. Oubiña
Keyword(s):  
Riemannian Manifolds ◽  
Homogeneous Riemannian Manifolds

On δ-homogeneous Riemannian manifolds. II

2009 ◽  
Vol 50 (2) ◽  
pp. 214-222 ◽  
Author(s):  
V. N. Berestovskiĭ ◽  
Yu. G. Nikonorov
Keyword(s):  
Riemannian Manifolds ◽  
Homogeneous Riemannian Manifolds

scholarly journals Homogeneous Riemannian manifolds with a fixed isotropy representation

1979 ◽  
Vol 31 (3) ◽  
pp. 535-552
Author(s):  
Eduardo H. CATTANI ◽  
L. N. MANN
Keyword(s):  
Riemannian Manifolds ◽  
Isotropy Representation ◽  
Homogeneous Riemannian Manifolds

Homogeneous Riemannian Manifolds Whose Geodesies Are Orbits

1996 ◽  
pp. 155-174 ◽  
Author(s):  
Carolyn S. Gordon
Keyword(s):  
Riemannian Manifolds ◽  
Homogeneous Riemannian Manifolds

Homogeneous Riemannian Manifolds

2020 ◽  
pp. 167-256
Author(s):  
Valerii Berestovskii ◽  
Yurii Nikonorov
Keyword(s):  
Riemannian Manifolds ◽  
Homogeneous Riemannian Manifolds

Naturally Reductive Homogeneous Riemannian Manifolds

1985 ◽  
Vol 37 (3) ◽  
pp. 467-487 ◽  
Author(s):  
Carolyn S. Gordon
Keyword(s):  
Homogeneous Space ◽  
Lie Group ◽  
Riemannian Manifolds ◽  
Homogeneous Spaces ◽  
Invariant Metrics ◽  
List Type ◽  
Left Invariant Metrics ◽  
Homogeneous Riemannian Manifolds ◽  
Transitive Subgroup ◽  
Naturally Reductive

The simple algebraic and geometric properties of naturally reductive metrics make them useful as examples in the study of homogeneous Riemannian manifolds. (See for example [2], [3], [15]). The existence and abundance of naturally reductive left-invariant metrics on a Lie group G or homogeneous space G/L reflect the structure of G itself. Such metrics abound on compact groups, exist but are more restricted on noncompact semisimple groups, and are relatively rare on solvable groups. The goals of this paper are(i) to study all naturally reductive homogeneous spaces of G when G is either semisimple of noncompact type or nilpotent and(ii) to give necessary conditions on a Riemannian homogeneous space of an arbitrary Lie group G in order that the metric be naturally reductive with respect to some transitive subgroup of G.

scholarly journals Compact homogeneous Riemannian manifolds with low coindex of symmetry

2017 ◽  
Vol 19 (1) ◽  
pp. 221-254 ◽  
Author(s):  
Jürgen Berndt ◽  
Carlos Olmos ◽  
Silvio Reggiani
Keyword(s):  
Riemannian Manifolds ◽  
Homogeneous Riemannian Manifolds

Quantum and classical mechanics on homogeneous Riemannian manifolds

1982 ◽  
Vol 23 (10) ◽  
pp. 1785-1791 ◽  
Author(s):  
Gérard G. Emch
Keyword(s):  
Riemannian Manifolds ◽  
Classical Mechanics ◽  
Homogeneous Riemannian Manifolds
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