Research
Interest
Differential Geometry and Partial Differential Equations
Curriculum Vitae
Publication List
Recent
Papers
 (with J. Wang) Finiteness of disjoint minimal graphs.
Math. Research Letters 8 (2001), 771777. (pdf file)
 (with J. Wang) Stable minimal hypersurfaces
in a nonnegatively curved manifold. J. Reine Ang. Math. (Crelles
J.) 566 (2004), 215230.
 (with J. Wang) Complete manifolds with positive
spectrum, II. J.
Diff. Geom. 62 (2002), 143162.
 (with J. Wang) Camparison
theorem for Khler manifolds and positivity of
spectrum. J.
Diff. Geom. 69 (2005), 4374.
 (with J. Wang) Weighted Poincar
inequality and rigidity of complete manifolds. Ann. Scient. c. Norm. Sup., 4e srie, t. 39 (2006),
921982.
 (with S. Kong and D. Zhou) Spectrum of the Laplacian on quaternionic Khler manifolds. J. Diff. Geom. 78
(2008), 295332.
 (with J. Wang) Connectedness at infinity of complete Khler manifolds, Amer.
J. Math. 131 (2009), 771817.
 (with
L. Ji and J. Wang) Ends of locally symmetric
spaces with maximal bottom spectrum. J. Reine
Angew. Math. (Crelles)
632 (2009), 135. (pdf file)
 (with J. Wang) A generalization of ChengŐs
theorem. Asian J. Math.
12 (2008), 519526.
 (with J. Wang)
Counting cusps on complete manifolds of finite volume. Math. Research Letters. 17
(2010), 675688. (pdf file)
Lecture
Notes and Survey Articles
 "Lecture
Notes on Geometric Analysis." Lecture Notes Series No. 6, Research
Institute of Mathematics, Global Analysis Research Center, Seoul
National University, Korea (1993). (pdf file)
 Curvature
and function theory on Riemannian manifolds. Surveys in Differential
Geometry: Papers dedicated to Atiyah, Bott, Hirzebruch, and
Singer Vol VII, International Press (2000),
375432. (pdf file)
 Differential
geometry via harmonic functions. Proc. ICM 2002  Beijing Vol. II
(2002), 293302. (pdf file)
 Harmonic functions and applications
to complete manifolds, Lecture notes. (pdf file)
 Harmonic functions on complete
Riemannian Manifolds. ŇHandbook of Geometric Analysis, No. 1Ó Advanced
Lectures in Mathematics, Vol. 7 (2008), International Press. (pdf file)
á Structure
of Complete Manifolds with Positive Spectrum. Preprint. (pdf file)
á Lectures
on Harmonic Maps. Manuscript. (pdf file)
Unpublished
Paper
 (with L. Karp) The heat equation on complete
Riemannian manifolds. (pdf file)
Editorial
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