26 citations · 54 across the 24 of their papers we have counts for
26 papers
A sharp pinching theorem for closed minimal Legendrian submanifolds
Yong Luo, Linlin Sun, Jiabin Yin
Let be a minimal Legendrian immersion of a connected closed manifold, where , and let be its second fundamental form. We prove that if $|B|^2…
A topological sphere theorem for pinched Legendrian submanifolds
Qing Cui, Linlin Sun
Let be a closed simply connected Legendrian submanifold of , where , and let and denote its se…
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…
Dirac-harmonic maps with trivial index
Jürgen Jost, Linlin Sun, Jingyong Zhu
For a homotopy class of maps between a closed Riemannian manifold and a general manifold , we want to find a Dirac-harmonic map with the map component in the given hom…
Boundary value problem for the mean field equation on a compact Riemann surface
Jiayu Li, Linlin Sun, Yunyan Yang
Let be a compact Riemann surface with smooth boundary , be the Laplace-Beltrami operator, and be a positive smooth function. Using a min-max scheme int…
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…