Zobrazeno 1 - 10
of 65
pro vyhledávání: '"Yang, Paul C."'
Autor:
Hang, Fengbo, Yang, Paul C.
We present another proof of the sharp inequality for Paneitz operator on the standard three sphere, in the spirit of subcritical approximation for the classical Yamabe problem. To solve the perturbed problem, we use a symmetrization process which onl
Externí odkaz:
http://arxiv.org/abs/1802.09692
Autor:
Hang, Fengbo, Yang, Paul C.
We discuss some open problems and recent progress related to the 4th order Paneitz operator and Q curvature in dimensions other than 4.
Comment: References updated. Typos corrected
Comment: References updated. Typos corrected
Externí odkaz:
http://arxiv.org/abs/1509.03003
Autor:
Hang, Fengbo, Yang, Paul C.
We derive the first and second variation formula for the Green's function pole's value of Paneitz operator on the standard three sphere. In particular it is shown that the first variation vanishes and the second variation is nonpositively definite. M
Externí odkaz:
http://arxiv.org/abs/1504.02032
Autor:
Hang, Fengbo, Yang, Paul C.
For a smooth compact Riemannian manifold with positive Yamabe invariant, positive Q curvature and dimension at least 5, we prove the existence of a conformal metric with constant Q curvature. Our approach is based on the study of extremal problem for
Externí odkaz:
http://arxiv.org/abs/1411.3926
Autor:
Hang, Fengbo, Yang, Paul C.
In a conformal class of metrics with positive Yamabe invariant, we derive a necessary and sufficient condition for the existence of metrics with positive Q curvature. The condition is conformally invariant. We also prove some inequalities between the
Externí odkaz:
http://arxiv.org/abs/1411.3924
Publikováno v:
Duke Math. J. 161, no. 15 (2012), 2909-2921
Let M^3 be a closed CR 3-manifold. In this paper we derive a Bochner formula for the Kohn Laplacian in which the pseudo-hermitian torsion plays no role. By means of this formula we show that the non-zero eigenvalues of the Kohn Laplacian are bounded
Externí odkaz:
http://arxiv.org/abs/1007.5020
Publikováno v:
Ann. of Math. (2), Vol. 155 (2002), no. 3, 709--787
We formulate natural conformally invariant conditions on a 4-manifold for the existence of a metric whose Schouten tensor satisfies a quadratic inequality. This inequality implies that the eigenvalues of the Ricci tensor are positively pinched.
Externí odkaz:
http://arxiv.org/abs/math/0409583
Autor:
Chang, Sun-Yung Alice, Yang, Paul C.
Publikováno v:
Proceedings of the ICM, Beijing 2002, vol. 1, 189--207
In the study of conformal geometry, the method of elliptic partial differential equations is playing an increasingly significant role. Since the solution of the Yamabe problem, a family of conformally covariant operators (for definition, see section
Externí odkaz:
http://arxiv.org/abs/math/0212394
Publikováno v:
Annals of Mathematics, 2002 May 01. 155(3), 709-787.
Externí odkaz:
https://www.jstor.org/stable/3062131
Publikováno v:
American Journal of Mathematics, 1999 Apr 01. 121(2), 215-257.
Externí odkaz:
https://www.jstor.org/stable/25098667