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math.DG2025
Rigidity results with curvature conditions from Lichnerowicz Laplacian and applications
Gunhee Cho, Nguyen Thac Dung, Tran Quang Huy
The Bochner technique is a classical tool in global differential geometry for proving vanishing and rigidity results by exploiting curvature conditions. Building on recent extensio…
math.DG2025
Refined Kato type inequalities and new vanishing theorems on complete Kähler and quaternionic Kähler manifolds
Dinh Tien Dat, Nguyen Thac Dung, Yong Luo
Given a complete Riemannian manifold satisfying a weighted Poincaré inequality and having a bounded below Ricci curvature, various vanishing theorems for harmonic functions and ha…