Peng Wu

Shanghai Center for Mathematical Sciences

Fudan University

wupenguin@fudan.edu.cn

Research Interest

Differential geometry.

• Rigidity of canonical metrics on four-manifolds, including Einstein metrics, gradient Ricci solitons, quasi-Einstein metrics.

Publications and Preprints

• Curvature decompositions on Eisntein four-manifolds, New York J. Math. 23 (2017), 1739–1749.
• A note on Einstein four-manifolds with positive curvature, J. Geom. Phys. 114 (2017), 19-22.
• A Weitzenbock formula for canonical metrics on four-manifolds, Trans. Amer. Math. Soc. 369 (2017), 1079-1096.
• Heat kernel on smooth metric measure spaces and applications (with Jia-Yong Wu), Math. Ann. 365 (2016), 309-344.
• Heat kernel on smooth metric measure spaces with nonnegative curvature (with Jia-Yong Wu), Math. Ann. 362 (2015), 717-742.
• On volume growth of gradient steady Ricci solitons (with Guofang Wei), Pacific J. Math. 265 (2013), 233-241.
• On the potential function of gradient steady Ricci solitons, J. Geom. Anal. 23 (2013), 221-228.
• Asymptotically hyperbolic metrics on a unit ball admitting multiple horizons (with Zhenyang Li, Yuguang Shi), Proc. Amer. Math. Soc. 136 (2008), 4003-4010.
• Gradient shrinking Ricci solitons of half harmonic Weyl curvature (with Jia-Yong Wu, Willian Wylie), arXiv:math.DG/1410.7303.
• On L^p Liouville property for smooth metric measure spaces (with Jia-Yong Wu), arXiv:math.DG/1410.7305.
• A generalizationof the Cai-Galloway splitting theorem to smooth metric measure spaces (with Jeffrey Case), arXiv:math.DG/1307.0848.
• Einstein four-manifolds of three-nonnegative curvature operator, preprint, 2013.
• On the first eigenvalue of Einstein four-manifolds with nonnegative curvature, preprint, 2015.
• Einstein four-manifolds with positive det W^+ are Hermitian Einstein, preprint, 2016.
• Rigidity of quasi-Einstein four-manifolds with half harmonic Weyl curvature, preprint, 2015.
• Studies on Einstein manifolds and gradient Ricci solitons. Ph.D. Thesis, 2012.