New Li--Yau--Hamilton Inequalities for the Ricci Flow via the Space-time Approach
| dc.creator | Chow, Bennett | |
| dc.creator | Knopf, Dan | |
| dc.date | 1999-10-05 | |
| dc.date | 2002-11-30 | |
| dc.date.accessioned | 2026-07-07T05:31:02Z | |
| dc.date.available | 2026-07-07T05:31:02Z | |
| dc.description | We generalize Hamilton's matrix Li-Yau-type Harnack estimate for the Ricci flow by considering the space of all LYH (Li-Yau-Hamilton) quadratics that arise as curvature tensors of space-time connections satisfying the Ricci flow with respect to the natural space-time degenerate metric. As a special case, we employ scaling arguments to derive a linear-type matrix LYH estimate. The new LYH quadratics obtained in this way are associated to the system of the Ricci flow coupled to a 1-form and a 2-form evolving by heat-type equations. In the case of a Kaehler solution, a special case of our linear-type trace LYH estimate is weaker than but qualitatively equivalent to Hamilton's trace estimate. | |
| dc.description | This revision mostly makes changes in terminology to match the published version of the paper. In particular, we now call our estimates `Li--Yau--Hamilton inequalities'. (51 pages) | |
| dc.identifier | https://arxiv.org/abs/math/9910022 | |
| dc.identifier | http://arxiv.org/abs/math/9910022 | |
| dc.identifier | J. Differential Geom. 60 (2002), no. 1, 1--51 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/79200 | |
| dc.subject | Differential Geometry | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 58G11 (primary); 53C21, 35K55 (secondary) | |
| dc.title | New Li--Yau--Hamilton Inequalities for the Ricci Flow via the Space-time Approach | |
| dc.type | text |