A note on Morse's index theorem for Perelman's $\mathcal{L}$-length
| dc.creator | Huang, Hong | |
| dc.date | 2006-02-06 | |
| dc.date.accessioned | 2026-07-07T07:03:08Z | |
| dc.date.available | 2026-07-07T07:03:08Z | |
| dc.description | This is essentially a note on Section 7 of Perelman's first paper on Ricci flow. We list some basic properties of the index form for Perelman's $ \mathcal{L} $-length, which are analogous to the ones in Riemannian case (with fixed metric), and observe that Morse's index theorem for Perelman's $\mathcal{L}$-length holds. As a corollary we get the finiteness of the number of the $\mathcal{L}$-conjugate points along a finite $\mathcal{L}$-geodesic. | |
| dc.description | 4 pages | |
| dc.identifier | https://arxiv.org/abs/math/0602090 | |
| dc.identifier | http://arxiv.org/abs/math/0602090 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/108857 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53C | |
| dc.title | A note on Morse's index theorem for Perelman's $\mathcal{L}$-length | |
| dc.type | text |