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On the homogeneous Riemannian structures of type ℐ1⊕ℐ3

✍ Scribed by Anna Maria Pastore

Book ID
104653359
Publisher
Springer
Year
1989
Tongue
English
Weight
400 KB
Volume
30
Category
Article
ISSN
0046-5755

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✦ Synopsis

We study homogeneous Riemannian structures belonging to thedass Y 1 ~f3 of the classification given by Tricerri and Vanhecke. The main result is the following: a connected, simply connected Riemannian manifold M admits a homogeneous structure Tof type ~-1 ~ ~-a, T~ ~-3, if and only if M is isometric to a hyperbolic space H".

📜 SIMILAR VOLUMES

On curvature-homogeneous spaces of type
On curvature-homogeneous spaces of type (1,3)
✍ Oldřich Kowalski; Alena Vanžurová 📂 Article 📅 2011 🏛 John Wiley and Sons 🌐 English ⚖ 106 KB

## Abstract Curvature homogeneous spaces have been studied by many authors. In this paper, we introduce and study a natural modification of this class, namely so‐called curvature homogeneous spaces of type (1,3). We present a class of proper examples in every dimension and we prove a classification