18 citations · 39 across the 8 of their papers we have counts for
5 papers · 1 filter
Hirzebruch -genus of compact almost Kähler manifold with negative sectional curvature
Teng Huang, Pan Zhang
Let \((X,J,ω)\) be a closed \(2n\)-dimensional almost Kähler manifold with negative sectional curvature. We prove that if the Nijenhuis tensor of the almost complex structure is su…
Gradient Flows of Higher Order Yang-Mills-Higgs Functionals
Pan Zhang
In this paper, we define a family of functionals generalizing the Yang-Mills-Higgs functional on a closed Riemannian manifold. Then we prove the short time existence of the corresp…
Minimality of a Kind of Pseudo-Umbilical Totally Real Submanifolds in Non-Flat Complex Space Forms
Liang Zhang, Pan Zhang
In this paper, by studying the position of umbilical normal vectors in the normal bundle, we prove that pseudo-umbilical totally real submanifolds with flat normal connection in no…
Geometric inequalities for Einstein totally real submanifolds in a complex space form
Pan Zhang, Liang Zhang, Mukut Mani Tripathi
Two geometric inequalities are established for Einstein totally real submanifolds in a complex space form. As immediate applications of these inequalities, some non-existence resul…
Inequalities for Casorati curvatures of submanifolds in real space forms
Pan Zhang, Liang Zhang
By using T. Oprea's optimization methods on submanifolds, we give another proof of the inequalities relating the normalized Casorati curvature for submanifolds i…