On the stability of 𝐿𝑝 -norms of Riemannian curvature at rank one symmetric spaces
| dc.contributor.author | Maity, Soma | |
| dc.date.accessioned | 2020-11-23T11:12:27Z | |
| dc.date.available | 2020-11-23T11:12:27Z | |
| dc.date.issued | 2019 | |
| dc.description.abstract | We study stability and local minimizing property of 𝐿𝑝-norms of Riemannian curvature tensor denoted by 𝑝 by variational methods. We compute the Hessian of 𝑝 at compact rank 1 symmetric spaces and prove that they are stable for 𝑝 for certain values of 𝑝≥2. A similar result also holds for compact quotients of rank 1 symmetric spaces of non-compact type. Consequently, we obtain stability of 𝐿𝑛2-norm of Weyl curvature at these metrics using results from Gursky and Viaclovsky (J Reine Angew Math 400:37–91, 2015). | en_US |
| dc.identifier.citation | Manuscripta Mathematica, 159(1),pp.183-202. | en_US |
| dc.identifier.other | 10.1007/s00229-018-1048-6 | |
| dc.identifier.uri | https://link.springer.com/article/10.1007/s00229-018-1048-6 | |
| dc.identifier.uri | http://hdl.handle.net/123456789/2066 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer | en_US |
| dc.subject | Property | en_US |
| dc.subject | Riemannian | en_US |
| dc.subject | Obtain | en_US |
| dc.title | On the stability of 𝐿𝑝 -norms of Riemannian curvature at rank one symmetric spaces | en_US |
| dc.type | Article | en_US |