3 papers
math.DG2025
Eigenvalue Estimate for the Rough Laplacian on -Forms and its Applications
Teng Huang, Weiwei Wang
In this article, we establish a geometric lower bound for the first positive eigenvalue of the rough Laplacian acting on -forms for closed -dimensional Rieman…
math.DG2025
Decomposition of the Curvature Operator and Applications to the Hopf Conjecture
Teng Huang, Weiwei Wang
In this article, we investigate the interplay between the curvature operator, Weyl curvature, and the Hopf conjecture on compact Riemannian manifolds of even dimension. By decompos…
math.DG2025
Hodge decomposition and Hard Lefschetz Condition on almost Kähler manifolds
Teng Huang, Weiwei Wang
In this article, we discuss the spaces of harmonic forms over a closed almost Kähler manifold . We show that if the almost complex structure…