报告题目: Vanishing theorems on Riemannian manifolds under new currvature conditions
报告人：Nguyen Thac Dung，Hanoi University of Sciences, (VNU)
时间：2024年10月21日（周一）上午10:00-11:00
地点：理科楼A304
摘要: It is well know that the Bochner technique is very useful to study geometry and topology of Riemannian manifolds. In this report, I talk about the new curvature conditions for Bochner techniques developed recently by Petersen and Wink. Then I introduce some vanishing results for harmonic forms on complete non compact Riemannian manifolds.
Reference
1. P. Petersen and M. Wink, Tachibana-type Theorems and special Holonomy,
Ann. Global Anal. Geom.
61, 847-868 (2022) (
DOI
) (
arXiv
)
2.
P. Petersen and M. Wink, Vanishing and Estimation Results for Hodge numbers,
J. Reine Angew. Math.
780 (2021), 197-219 (
DOI
) (
arXiv
)
3. P. Petersen and M. Wink, The Bochner Technique and Weighted Cuủvatures,
SIGMA
16 (2020), 064, 10 pages (
DOI
) (
arXiv
)
4. P. Petersen and M. Wink, New Curvature Conditions for the Bochner Technique,
Invent. Math.
224, 33-54 (2021) (
DOI
) (
arXiv
)
邀请人：徐国义
