Finite dimensional imbeddings of harmonic spaces
| dc.creator | Ramachandran, K. | |
| dc.creator | Ranjan, Akhil | |
| dc.date | 1996-03-23 | |
| dc.date.accessioned | 2026-07-07T09:12:44Z | |
| dc.date.available | 2026-07-07T09:12:44Z | |
| dc.description | In a noncompact harmonic manifold $M$ we establish finite dimensionality of the eigenspaces $V_λ$ generated by radial eigenfunctions of the form $\cosh r + c$. As a consequence, for such harmonic manifolds, we give an isometric imbedding of $M$ into $(V_λ,B)$, where $B$ is a nondegenerate symmetric bilinear indefinite form on $V_λ$ (analogous to the imbedding of the real hyperbolic space $I\!\!\!H^{n}$ into $I\!\!\!R^{n+1}$ with the indefinite form $Q(x,x) = -x_0^2 + \sum x_i^2$). Finally we give certain conditions under which $M$ is symmetric. | |
| dc.description | 10 pages, latex (e-mail: kram@..., aranjan@ganit.math.iitb.ernet.in) | |
| dc.identifier | https://arxiv.org/abs/dg-ga/9603012 | |
| dc.identifier | http://arxiv.org/abs/dg-ga/9603012 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/152121 | |
| dc.subject | Differential Geometry | |
| dc.title | Finite dimensional imbeddings of harmonic spaces | |
| dc.type | text |