Analysis and Geometry
Basic Information
Analysis and Geometry
Li Ping
Paper & Publicaiont


[04].(with F. Zheng)Chern class inequalities on polarized manifolds and nef vector bundles.

[03].On some applications of Gauduchon metrics.

[02].On the spectral rigidity of Einstein-type Kaehler manifolds.

[01].The Alexandrov-Fenchel type inequalities, revisited.

Published articles:

[25].Nonnegative Hermitian vector bundles and Chern numbers,Mathematische Annalen, 2020.

[24].The rigidity on the second fundamental form of projective manifolds,Manuscripta Mathematica,2019.

[23].Kaehler hyperbolic manifolds and Chern number inequalities,Transactions of the American Mathematical Society, 2019.

[22].The spectral rigidity of complex projective spaces, revisited,Mathematische Zeitschrift, 2018.

[21].The Hirzebruch $/chi_y$-genus and Poincare polynomial revisited,Communications in Contemporary Mathematics, 2017.

[20].Some remarks on the uniqueness of the complex projective spaces,Bulletin of the London Mathematical Society, 2016.

[19].A characterization of the $/hat{A}$-genus as a linear combination of Pontrjagin numbers,Archiv der Mathematik, 2016.

[18].Cauchy-Schwarz-type inequalities on Kaehler manifolds-II,Journal of Geometry and Physics,2016.

[17].Eigenvalues of vector fields, Bott's residue formula and integral invariants,Differential Geometry and its Applications, 2016.

[16].An integral inequality for constant scalar curvature metrics on Kaehler manifolds,Advances in Mathematics, 2016.

[15].Circle action with prescribed number of fixed points,Acta Mathematica Sinica (English Series),2015.

[14].-1-Phenomena for the pluri $/chi_y$-genus and elliptic genus,Pacific Journal of Mathematics, 2015

[13].On the vanishing of characteristic numbers,Homology, Homotopy and Applications,2014.

[12].A gap theorem of Kaehler manifolds with vanishing odd Betti numbers,Differential Geometry and its Applications, 2013.

[11].An application of the rigidity of Dolbeault-type operators,Mathematical Research Letters, 2013.

[10].Remarks on Bott residue formula and Futaki-Morita integral invariants,Topology and its Applications, 2013.

[09].Poincare polynomial and SL(2,C)-representation on Kaehler manifolds,Archiv der Mathematik, 2013.

[08].Cauchy-Schwarz-type inequalities on Kaehler manifolds,Journal of Geometry and Physics, 2013.

[07]. (with K. Liu) On an algebraic formula and applications to group action on manifolds,Asian Journal of Mathematics, 2013.

[06].Circle action, lower bounds of fixed points and characteristic numbers,Journal of Fixed Point Theory and Applications, 2012.

[05].The rigidity of Dolbeault-type operators and symplectic circle actions,Proceedings of the American Mathematical Society, 2012.

[04]. (with K. Liu)Circle action and some vanishing results on manifolds,International Journal of Mathematics,2011.

[03]. (with K. Liu)Some remarks on circle action on manifolds,Mathematical Research Letters,2011.

[02].Chern numbers and the indices of some elliptic differential operators,Pacific Journal of Mathematics, 2011.

[01]. (with Y. Su)The signature of generalized flag maniflds and applications,Acta Mathematica Sinica (English Series),2010.