8 citations · 14 across the 9 of their papers we have counts for
9 papers · 1 filter
Lower bound of modified -energy on a Fano manifold with degeneration for Kähler-Ricci solitons
Liang Zhang
In this paper, we extend Tosatti's method to study the lower boundedness of modified -energy on a Fano manifold and apply this result to study the relative -stability of the…
Kähler-Ricci flow for deformed complex structures
Gang Tian, Liang Zhang, Xiaohua Zhu
Let be a Fano manifold which admits a Kähler-Ricci soliton, we analyze the behavior of the Kähler-Ricci flow near this soliton as we deform the complex structure . F…
Some Inequalities Related to Ricci Curvatures for Lagrangian Submanifolds of Kahler QCH-manifolds
Liang Zhang, Xudong Liu, Dandan Cai
By establishing two general quadratic inequalities, we obtain some inequalities related to Ricci curvatures for Lagrangian submanifolds of Khler QCH-manifolds, w…
On the classification of four-dimensional gradient Ricci solitons
Fei Yang, Liangdi Zhang
In this paper, we prove some classification results for four-dimensional gradient Ricci solitons. For a four-dimensional gradient shrinking Ricci soliton with , we s…
Rigidity of Gradient Shrinking Ricci Solitons
Fei Yang, Liangdi Zhang
We prove that a gradient shrinking Ricci soliton with fourth order divergence-free Riemannian tensor is rigid. For the -dimensional case, we show that any gradient shrinking Ric…
On CR Submanifolds of Maximal CR Dimension with Flat Normal Connection of a Complex Projective Space
Liang Zhang, Man Su, Pan Zhang
In this paper, we study the CR submanifolds of maximal CR dimension with flat normal connection of a complex projective space. We first investigate the position of the umbilical no…
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…