Xuất bản mới
Nguyễn Hữu Sáu, Piyapong Niamsup, Vũ Ngọc Phát, Linear Programming Approach to Constrained Stabilization of Positive Differential-Difference Equations With Unbounded Delay, Optimal Control Applications and Methods, 2025; 46:2581--2594 (SCI-E, Scopus) .
Đỗ Hoàng Sơn, Vũ Đức Việt, Quantitative stability for the complex Monge-Ampère equations II, Calculus of Variations and Partial Differential Equations 64 (2025), no. 8, Paper No. 269 (SCI-E, Scopus) .
Giang Trung Hiếu, Existence and uniqueness results for a nonlinear Budiansky-Sanders shell model, Journal of Engineering Mathematics, Volume 151, article number 5, (2025) (SCI-E, Scopus) .

Rigidity and vanishing theorems for complete translating solitons

Người báo cáo: Nguyễn Thạc Dũng


Thời gian: 9h00 (Giờ VN), thứ năm, ngày 06/04/2023.

Online: (google meet) https://meet.google.com/yyb-zhod-hdy?authuser=3&hl=vi

Tóm tắt: In this talk, I will introduce some rigidity theorems for complete translating solitons. Assume that the $L^q$-norm of the trace-free second fundamental form is finite, for some $qinmathbb{R}$ and using a Sobolev inequality, we show that translators must be hyperspaces. Moreover, we also investigate a vanishing property for translators which states that there are no nontrivial $L_f^p (pgeq2)$ weighted harmonic $1$-forms on ${M}$ if the $L^n$-norm of the second fundamental form is bounded. This talk is based on a joint work with H.T. Dung and T.Q. Huy.