Bhattacharya, Atreyee and Maity, Soma (2014) SOME UNSTABLE CRITICAL METRICS FOR THE L-n/2-NORM OF THE CURVATURE TENSOR. In: MATHEMATICAL RESEARCH LETTERS, 21 (2). pp. 235-240.
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Official URL: http://arxiv.org/pdf/1211.5774v1
Abstract
We consider the Riemannian functional defined on the space of Riemannian metrics with unit volume on a closed smooth manifold M given by R-n/2(g) := integral(M) vertical bar R(g)vertical bar(n//2) dv(g) where R(g), dv(g) denote the Riemannian curvature and volume form corresponding to g. We show that there are locally symmetric spaces which are unstable critical points for this functional.
| Item Type: | Journal Article |
|---|---|
| Publication: | MATHEMATICAL RESEARCH LETTERS |
| Publisher: | INT PRESS BOSTON, INC |
| Additional Information: | Copy right for this article belongs to the INT PRESS BOSTON, INC, PO BOX 43502, SOMERVILLE, MA 02143 USA |
| Keywords: | Riemannian functional; stability |
| Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
| Date Deposited: | 09 Nov 2014 07:05 |
| Last Modified: | 09 Nov 2014 07:05 |
| URI: | http://eprints.iisc.ac.in/id/eprint/50208 |
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