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), 771-777. (pdf
file)
- (with
J. Wang) Stable minimal hypersurfaces in a nonnegatively curved
manifold. J.
Reine Ang. Math. (Crelles J.) 566 (2004), 215-230.
- (with
J. Wang) Complete manifolds with positive spectrum, II. J. Diff. Geom. 62
(2002), 143-162.
- (with
J. Wang) Camparison theorem for Khler manifolds and positivity of
spectrum. J.
Diff. Geom. 69 (2005), 43-74.
- (with
J. Wang) Weighted Poincar inequality and rigidity of complete
manifolds. Ann. Scient. c.
Norm. Sup., 4e srie, t. 39 (2006), 921-982
- (with
S. Kong and D. Zhou) Spectrum of the Laplacian on quaternionic Khler manifolds.
J. Diff. Geom.
78 (2008), 295-332.
- (with
J. Wang) Connectedness at infinity of complete Khler manifolds,
Preprint. (pdf file)
- (with
L. Ji and J. Wang) Ends of locally symmetric spaces with maximal bottom
spectrum, To appear in J. Reine Angew. Math. (Crelles). (pdf file)
- (with
J. Wang) A generalization of ChengÕs theorem. Preprint. (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), 375-432. (pdf file)
- Differential
geometry via harmonic functions. Proc. ICM 2002 - Beijing Vol. II
(2002), 293-302. (pdf
file)
- Harmonic
functions and applications to complete manifolds, Preprint. (pdf file)
Unpublished
Paper
- (with
L. Karp) The heat equation on complete Riemannian manifolds. (pdf file)
Editorial Memberships
Seminars and Conferences at UCI
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Activities
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