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Seminar on Geometric Complex Analysis
Seminar information archive ～03/27｜Next seminar｜Future seminars 03/28～
| Date, time & place | Monday 10:30 - 12:00 128Room #128 (Graduate School of Math. Sci. Bldg.) |
|---|---|
| Organizer(s) | Kengo Hirachi, Shigeharu Takayama |
2015/04/20
10:30-12:00 Room #126 (Graduate School of Math. Sci. Bldg.)
Akito Futaki (The Univ. of Tokyo)
Weighted Laplacians on real and complex complete metric measure spaces (Japanese)
Akito Futaki (The Univ. of Tokyo)
Weighted Laplacians on real and complex complete metric measure spaces (Japanese)
[ Abstract ]
We compare the weighted Laplacians on real and complex (K¥"ahler) metric measure spaces. In the compact case K¥"ahler metric measure spaces are considered on Fano manifolds for the study of K¥"ahler Ricci solitons while real metric measure spaces are considered with Bakry-¥'Emery Ricci tensor. There are twisted Laplacians which are useful in both cases but look alike each other. We see that if we consider noncompact complete manifolds significant differences appear.
We compare the weighted Laplacians on real and complex (K¥"ahler) metric measure spaces. In the compact case K¥"ahler metric measure spaces are considered on Fano manifolds for the study of K¥"ahler Ricci solitons while real metric measure spaces are considered with Bakry-¥'Emery Ricci tensor. There are twisted Laplacians which are useful in both cases but look alike each other. We see that if we consider noncompact complete manifolds significant differences appear.
