17 citations · 26 across the 14 of their papers we have counts for
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Asymptotic properties of energy of harmonic maps on asymptotically hyperbolic manifolds
Man Chun Leung
Asymptotic behavior of energy of a harmonic map defined on an asymptotically hyperbolic manifold is considered. Using the growth of energy, we show that a harmonic map defined on s…
Uniqueness of Positive Solutions of the Conformal Scalar Curvature Equation and Applications to Conformal Transformations
Man Chun Leung
We study uniqueness of positive solutions to the conformal scalar curvature equation on complete Riemannian manifolds with constant negative scalar curvature. We apply the results…
Rotationally Symmetric F-harmonic Maps Equations
Man Chun Leung
We study a second order differential equation corresponding to rotationally symmetric -harmonic maps between certain noncompact manifolds. We show unique continuation and Liouvi…
Rotationally Symmetric -harmonic maps
Man Chun Leung
We study a second order ordinary differential equation corresponding to rotationally symmetric -harmonic maps. We show unique continuation and Liouville's type theorems for posi…
Conformal Deformation of Warped Products and Scalar Curvature Functions on Open Manifolds
Man Chun Leung
We discuss conformal deformation and warped products on some open manifolds. We discuss how these can be applied to construct Riemannian metrics with specific scalar curvature func…
Conformal Invariants of Manifolds of Non-positive Scalar Curvature
M. C. Leung
Conformal invariants of manifolds of non-positive scalar curvature are studied in association with growth in volume and fundamental group.