Research Papers
John M. Lee
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- Sobolev-class asymptotically hyperbolic manifolds and the Yamabe problem (with Paul T. Allen and David Maxwell), 2022. ArXiv Preprint.
- Asymptotic Gluing of Shear-Free Hyperboloidal Initial Data Sets (with Paul T. Allen, James Isenberg, Iva Stavrov Allen), Annales Henri Poincaré 22 (2021), 771-819. Published Article; ArXiv Preprint.
- Low regularity Poincaré-Einstein metrics (with Eric Bahuaud), Proc. Amer. Math. Soc. 146 (2018), no. 5, 2239–2252. Published Article; ArXiv Preprint.
- The shear-free condition and constant-mean-curvature hyperboloidal initial data (with Paul T. Allen, James Isenberg, Iva Stavrov Allen), Class. Quantum Grav. 33 (2016), no. 11, 115015, 28pp. Published Article; ArXiv Preprint.
- Weakly asymptotically hyperbolic manifolds (with Paul T. Allen, James Isenberg, Iva Stavrov Allen), Communications in Analysis and Geometry, 26 (2018), no. 1, 1-61. Published Article; ArXiv Preprint.
- A note on flux integrals over smooth regular domains (with Ido Bright), Pacific Journal of Mathematics 272 (2014), 305–322. Published Article; ArXiv Preprint.
- Asymptotic gluing of asymptotically hyperbolic solutions to the Einstein constraint equations (with James Isenberg and Iva Stavrov Allen), Annales Henri Poincaré 11 (2010) 881-927. Published Article; ArXiv Preprint.
- Multiplicative functional for reflected Brownian motion via deterministic ODE (with Krzysztof Burdzy), Illinois J. Math. 54 (2010), 895-925. Published Article; ArXiv Preprint.
- Boundary regularity
of conformally compact Einstein metrics (with Piotr
T. Chrusciel, Erwann Delay, and Dale N. Skinner), J. Differential
Geometry 69 (2005) 111-136. Published
Article; ArXiv
Preprint.
- Fredholm operators and Einstein metrics on conformally compact manifolds, Memoirs
of the American Mathematical Society 183 (2006), 83pp. Published Monograph;
ArXiv Preprint.
- Deformation
theory of five-dimensional CR structures and the Rumin complex (with Takao
Akahori and Peter M. Garfield), Michigan Math. J. 50
(2002), no. 3, 517-549.
Published Article; ArXiv
Preprint.
- The Rumin complex
on CR manifolds (with Peter M. Garfield), in CR geometry and isolated
singularities (Japanese) (Kyoto, 1996). Surikaisekikenkyusho Kokyuroku
No. 1037 (1998), 29-36. Published Article.
- The spectrum
of an asymptotically hyperbolic Einstein manifold, Communications in
Analysis and Geometry 3 (1995) 253-271. Published Article; ArXiv
preprint.
- CR manifolds
with noncompact connected automorphism groups, J. Geometric Analysis
6 (1996) 79-90. Published Article; ArXiv
preprint.
- A local slice
theorem for 3-dimensional CR structures (with Jih-Hsin Cheng), Am. J.
Math. 117 (1995) 1249-1298. Published
article.
- The Burns-Epstein
invariant and deformation of CR structures (with Jih-Hsin Cheng), Duke
Math. J. 60 (1990), 221-254. Published
article.
- Einstein metrics
with prescribed conformal infinity on the ball (with C. Robin Graham), Adv.
Math. 87 (1991), 186-225. Published article.
- Determining
anisotropic real-analytic conductivities by boundary measurements (with
Gunther Uhlmann), Comm. Pure Appl. Math. 42 (1989), 1097-1112. Published article.
- Intrinsic CR
normal coordinates and the CR Yamabe problem (with David Jerison), J.
Diff. Geom. 29 (1989), 303-343. Published article.
- Smooth solutions
of degenerate Laplacians on strictly pseudoconvex domains (with C. Robin Graham), Duke Math. J. 57 (1988), 697-720. Published
article.
- Extremals for
the Sobolev inequality on the Heisenberg group and the CR Yamabe problem
(with David Jerison), J. Amer. Math. Soc. 1 (1988), 1-13. Published
article.
- Pseudo-Einstein
structures on CR manifolds, Am. J. Math. 110 (1988), 157-178.
Published
article.
- The Yamabe problem
(with Thomas H. Parker), Bull. Amer. Math. Soc. 17 (1987), 37-91. Published article.
- The Yamabe problem
on CR manifolds (with David Jerison), J. Diff. Geom. 25 (1987),
167-197. Published article.
- The Fefferman
metric and pseudohermitian invariants, Trans. Amer. Math. Soc. 296
(1986), 411-429. Published
article.
- A subelliptic,
nonlinear eigenvalue problem and scalar curvature on CR manifolds (with
David Jerison), Contemporary Math. 27 (1984), 57-63. Published article.
- Boundary behaviour
of the complex Monge-Ampère equation (with Richard B. Melrose), Acta
Math. 148 (1982), 159-192. Published article.
- Higher asymptotics of the complex Monge-Ampère equation and geometry
of CR manifolds, unpublished doctoral dissertation, Massachusetts Institute
of Technology, 1982, 79 pages. MIT Library info page.
- Behaviour at the boundary of the complex Monge-Ampère equation (with
Richard B. Melrose), unrefereed research announcement, Sem. Goulaouic-Meyer-Schwartz,
expose no. 24, 1981, 6 pages. Published Article.