Journal of the American Mathematical Society

			Journals Home Search Author Info Subscribe Tech Support My Subscriptions Help
ISSN 1088-6834(e) ISSN 0894-0347(p)

Isospectral conformal metrics on -manifolds

Author(s): Sun-Yung A. Chang; Paul C.-P. Yang
Journal: J. Amer. Math. Soc. 3 (1990), 117-145.
MSC: Primary 58G25; Secondary 35P05, 53C20, 58G11
MathSciNet review: 1015647
Retrieve article in: PDF
This article is available free of charge

References:

[A]: T. Aubin, The scalar curvature, differential geometry and relativity (Cahen and Flato, eds.), Reidel, Dordrecht, 1976. MR 0433500 (55:6476)
[BPY]: R. Brooks, P. Perry, and P. Yang, Isospectral sets of conformally equivalent metrics, Duke Math. J. 58 (1989), 131-150. MR 1016417 (90i:58193)
[CY]: S. Y. A. Chang and P. Yang, Compactness of isospectral conformal metrics on ${S^3}$ , Comment. Math. Helv. 64 (1989), 363-374. MR 998854 (90c:58181)
[CY2]: -, The conformal deformation equation and isospectral set of conformal metrics, Contemp. Math., Vol. 101, Amer. Math. Soc., Providence, RI, 1989, pp. 165-178. MR 1034980 (90k:53072)
[G]: P. Gilkey, Leading terms in the asymptotics of the heat equation, 1988, preprint. MR 954631 (89h:58199)
[GS]: D. Gilbarg and J. Serrin, On isolated singularities of solutions of second order elliptic differential equation, J. Analyse Math 4 (1955), 309-340. MR 0081416 (18:399a)
[GT]: D. Gilbarg and N. S. Trudinger, Elliptic partial differential equations of second order, 2nd ed., Springer-Verlag, Berlin and New York, 1983. MR 737190 (86c:35035)
[JN]: F. John and L. Nirenberg, On functions of bounded mean oscillation, Comm. Pure Appl. Math. 14 (1961), 415-426. MR 0131498 (24:A1348)
[M]: R. Melrose, Isospectral sets of drumheads are compact in ${\mathcal{C}^\infty }$ , MSRI preprint.
[MP]: S. Minakshisundaram and A. Pleijel, Some properties of the Laplace-operator on Riemannian manifolds, Canad. J. Math 1 (1949), 242-256. MR 0031145 (11:108b)
[MS]: H. McKean and I. Singer, Curvature and the eigenvalues of the Laplacian, J. Differential Geom. 1 (1967), 43-69. MR 0217739 (36:828)
[OPS1]: B. Osgood, R. Phillips, and P. Sarnak, Extremals of determinants of Laplacians, J. Funct. Anal. 80 (1988), 148-211. MR 960228 (90d:58159)
[OPS2]: -, Compact isospectral set of surfaces, J. Funct. Anal. 80 (1988), 212-234. MR 960229 (90d:58160)
[OPS3]: -, Moduli space, heights and isospectral set of plane domains, Ann. of Math. (2) 129 (1989), 293-362. MR 986795 (91a:58196)
[S]: R. Schoen, Conformal deformation of a Riemannian metric to constant scalar curvature, J. Differential Geom. 20 (1984), 479-495. MR 788292 (86i:58137)
[W]: J. Wolf, Spaces of constant curvature, McGraw-Hill, New York, 1967. MR 0217740 (36:829)

	Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
\|