η-EINSTEIN TANGENT SPHERE BUNDLES OF CONSTANT RADII-Reference-Cited by-同舟云学术

η-EINSTEIN TANGENT SPHERE BUNDLES OF CONSTANT RADII

Published:2009-09 Issue:06 Volume:06 Page:965-984
ISSN:0219-8878
Container-title:International Journal of Geometric Methods in Modern Physics
language:en
Short-container-title:Int. J. Geom. Methods Mod. Phys.

Author:

CHUN SUN HYANG¹,PARK JEONG HYEONG¹,SEKIGAWA KOUEI²

Affiliation:

1. Department of Mathematics, Sungkyunkwan University, Suwon 440-746, Korea

2. Department of Mathematics, Faculty of Science, Niigata University, Niigata, 950-2181, Japan

Abstract

We study the geometric properties of the base manifold for the tangent sphere bundle of radius r satisfying the η-Einstein condition with the standard contact metric structure. One of the main theorems is that the tangent sphere bundle of the n(≥3)-dimensional locally symmetric space, equipped with the standard contact metric structure, is an η-Einstein manifold if and only if the base manifold is a space of constant sectional curvature [Formula: see text] or [Formula: see text].

Publisher

World Scientific Pub Co Pte Lt

Subject

Physics and Astronomy (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219887809003928

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