8 citations · 15 across the 13 of their papers we have counts for
12 papers · 1 filter
Sharp scalar and Ricci curvature pinching theorems for Lagrangian submanifolds in the homogeneous nearly Kähler Six-sphere
Zejun Hu, Linlin Sun, Jiabin Yin
For connected closed Lagrangian submanifolds of the homogeneous nearly Kähler sphere , we first establish a new integral inequality. Then, as applications we prove…
Estimates of -capacity for manifolds with Ricci curvature bounded from below
Xiaoshang Jin, Zhiwei Lü, Jiabin Yin
We study sharp estimates for the -capacity on complete non-compact Riemannian manifolds under lower Ricci curvature bounds. First, we establish sharp comparison inequalities for…
Mass--Capacity Inequalities in Asymptotically Flat Half-Spaces
Chao Xia, Jiabin Yin, Xingjian Zhou
In this paper, we establish general monotone quantities and sharp mass-capacity inequalities related to -capacitary functions in -dimensional asymptotically flat half-spaces…
Large -Capacitary Invariants, Entropy, and Geometric Rank
Xiaoshang Jin, Jiabin Yin
We introduce large- asymptotic invariants associated with the -capacity, the first -eigenvalue, and the Maz'ya constant on connected complete noncompact Riemannian manifol…
The first nonzero eigenvalue of the weighted p-Laplacian on differential forms
Mingzhu Miao, Xuerong Qi, Jiabin Yin
We introduce the weighted p-Laplace operator acting on differential forms on a metric measure space, which is a natural generalization of the p-Laplace operator defined by Seto [32…
Willmore-type inequality for closed hypersurfaces in complete manifolds with Ricci curvature bounded below
Xiaoshang Jin, Jiabin Yin
In this paper, we establish a Willmore-type inequality for closed hypersurfaces in a complete Riemannian manifold of dimension with . It extends the classic…
New monotonicity for -capacitary functions in -manifolds with nonnegative scalar curvature
Chao Xia, Jiabin Yin, Xingjian Zhou
In this paper, we derive general monotone quantities and geometric inequalities associated with -capacitary functions in asymptotically flat -manifolds with simple topology a…
On -dimensional complete self-similar solutions to the mean curvature flow in with nonnegative constant scalar curvature
Yong Luo, Linlin Sun, Jiabin Yin
As is well known, self-similar solutions to the mean curvature flow, including self-shrinkers, translating solitons and self-expanders, arise naturally in the singularity analysis…
On energy gap phenomena of the Whitney sphere and related problems
Yong Luo, Jiabin Yin
In this paper, we study Lagrangian submanifolds satisfying introduced by Zhang \cite{Zh} in the complex space forms , where $T ={\rm \nabla…
A new characterization of the Calabi torus in the unit sphere
Yong Luo, Linlin Sun, Jiabin Yin
In this paper, we study the rigidity theorem of closed minimally immersed Legendrian submanifolds in the unit sphere. Utilizing the maximum principle, we obtain a new characterizat…
Rigidity theorems of Lagrangian submanifolds in the homogeneous nearly Kähler
Zejun Hu, Jiabin Yin, Bangchao Yin
In this paper, we study Lagrangian submanifolds of the homogeneous nearly Kähler -dimensional unit sphere . As the main result, we derive a Simons' type integra…
Equivariant CR minimal immersions from into
Zejun Hu, Jiabin Yin, Zhenqi Li
The equivariant CR minimal immersions from the round -sphere into the complex projective space have been classified by the third author explicitly (J London…