Search Results - "Yang, Paul C."

Q-Curvature on a Class of Manifolds with Dimension at Least 5 by 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…”
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Q Curvature on a Class of 3-Manifolds by Hang, Fengbo, Yang, Paul C.

“…Motivated by the strong maximum principle for the Paneitz operator in dimension 5 or higher found in a preprint by Gursky and Malchiodi and the calculation of…”
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A Perturbation Approach for Paneitz Energy on Standard Three Sphere by Hang, Fengbo, Yang, Paul C

“…Abstract We present another proof of the sharp inequality for Paneitz operator on the standard three sphere, in the spirit of subcritical approximation for the…”
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Paneitz operator for metrics near S 3 by 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…”
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CR geometry in 3-D by Yang, Paul C.

“…CR geometry studies the boundary of pseudo-convex manifolds. By concentrating on a choice of a contact form, the local geometry bears strong resemblence to…”
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An Equation of Monge-Ampère Type in Conformal Geometry, and Four-Manifolds of Positive Ricci Curvature by Chang, Sun-Yung A., Gursky, Matthew J., Yang, Paul C.

“…We formulate natural conformally invariant conditions on a 4-manifold for the existence of a metric whose Schouten tensor satisfies a quadratic inequality…”
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Estimates and extremals for zeta function determinants on four-manifolds by BRANSON, T. P, CHANG, S.-Y. A, YANG, P. C

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The inequality of Moser and Trudinger and applications to conformal geometry by Chang, Sun-Yung Alice, Yang, Paul C.

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What is Q-Curvature? by Chang, S.-Y. Alice, Eastwood, Michael, Ørsted, Bent, Yang, Paul C.

“…Branson’s Q -curvature is now recognized as a fundamental quantity in conformal geometry. We outline its construction and present its basic properties…”
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A conformally invariant sphere theorem in four dimensions by CHANG, Sun-Yung A, GURSKY, Matthew J, YANG, Paul C

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Indigenous and Cultural Psychology: Understanding People in Context: A Book Review from the Transpersonal Psychology Perspective by Yang, C. Paul, Lu, Francis G.

“…There is growing recognition that psychological theories and principles developed in the West may not accurately reflect those found in other cultures. The…”
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Sign of Green's Function of Paneitz Operators and the Q Curvature by Hang, Fengbo, Yang, Paul C.

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Compactification of a class of conformally flat 4-manifold by Chang, Sun-Yung A., Qing, Jie, Yang, Paul C.

“…In this paper we generalize Huber's result on complete surfaces of finite total curvature. For complete locally conformally flat 4-manifolds of positive scalar…”
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The Sobolev inequality for Paneitz operator on three manifolds by Hang, Fengbo, Yang, PaulC

“…The Paneitz operator introduced in [P] has attracted some attention in conformal geometry recently. In particular its associated Q-curvature equation has…”
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On a class of locally conformally flat manifolds by Chang, Sun-Yung A., Hang, Fengbo, Yang, Paul C.

“…An important class of conformally flat structures are those derived from Kleinian groups. As an application of the Yamabe equation, Schoen and Yau (1986)…”
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A comparison of sap flow and eddy fluxes of water vapor from a boreal deciduous forest by Hogg, Edward H., Black, T. Andrew, den Hartog, Gerry, Neumann, Harold H., Zimmermann, Reiner, Hurdle, Patrick A., Blanken, Peter D., Nesic, Zoran, Yang, Paul C., Staebler, Ralf M., McDonald, Kyle C., Oren, Ram

“…Water flux to the atmosphere was measured from a mature stand of aspen (Populus tremuloides Michx.) in Saskatchewan, Canada, as part of the Boreal…”
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The scalar curvature equation on 2- and 3-spheres by Chang, Sun-Yung A., Gursky, Matthew J., Yang, Paul C.

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Paneitz operator for metrics near $$S^{3}$$ S 3 by Hang, Fengbo, Yang, Paul C.

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Paneitz operator for metrics near S3 by 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…”
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Regularity of a Fourth Order Nonlinear PDE with Critical Exponent by Chang, Sun-Yung A., Gursky, Matthew J., Yang, Paul C.

“…In this paper we demonstrate the regularity of minimizers for a variational problem, a special case of which arises in spectral theory and conformal geometry…”
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