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Seminar on Geometric Complex Analysis
Seminar information archive ～09/12｜Next seminar｜Future seminars 09/13～
| Date, time & place | Monday 10:30 - 12:00 128Room #128 (Graduate School of Math. Sci. Bldg.) |
|---|---|
| Organizer(s) | Kengo Hirachi, Shigeharu Takayama |
2015/07/13
10:30-12:00 Room #126 (Graduate School of Math. Sci. Bldg.)
Yoshihiko Matsumoto (Tokyo Institute of Technology)
$L^2$ cohomology and deformation of Einstein metrics on strictly pseudo convex domains
Yoshihiko Matsumoto (Tokyo Institute of Technology)
$L^2$ cohomology and deformation of Einstein metrics on strictly pseudo convex domains
[ Abstract ]
Consider a bounded domain of a Stein manifold, with strictly pseudo convex smooth boundary, endowed with an ACH-Kähler metric (examples being domains of $\mathbb{C}^n$ with their Bergman metrics or Cheng-Yau’s Einstein metrics). We give a vanishing theorem on the $L^2$ $\overline{\partial}$-cohomology group with values in the holomorphic tangent bundle. As an application, Einstein perturbations of the Cheng-Yau metric are discussed.
Consider a bounded domain of a Stein manifold, with strictly pseudo convex smooth boundary, endowed with an ACH-Kähler metric (examples being domains of $\mathbb{C}^n$ with their Bergman metrics or Cheng-Yau’s Einstein metrics). We give a vanishing theorem on the $L^2$ $\overline{\partial}$-cohomology group with values in the holomorphic tangent bundle. As an application, Einstein perturbations of the Cheng-Yau metric are discussed.
