Isospectral conformal metrics on 3-manifolds
Journal of the American Mathematical Society, Tome 03 (1990) no. 1, pp. 117-145

Voir la notice de l'article provenant de la source American Mathematical Society

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Chang, Sun-Yung A.; Yang, Paul C.-P. Isospectral conformal metrics on 3-manifolds. Journal of the American Mathematical Society, Tome 03 (1990) no. 1, pp. 117-145. doi: 10.1090/S0894-0347-1990-1015647-3

[1] Aubin, T. The scalar curvature 1976 5 18

[2] Brooks, Robert, Perry, Peter, Yang, Paul Isospectral sets of conformally equivalent metrics Duke Math. J. 1989 131 150

[3] Chang, Sun-Yung A., Yang, Paul C. Compactness of isospectral conformal metrics on 𝑆³ Comment. Math. Helv. 1989 363 374

[4] Chang, Sun-Yung A., Yang, Paul C. The conformal deformation equation and isospectral set of conformal metrics 1989 165 178

[5] Gilkey, Peter B. Leading terms in the asymptotics of the heat equation 1988 79 85

[6] Gilbarg, D., Serrin, James On isolated singularities of solutions of second order elliptic differential equations J. Analyse Math. 1955/56 309 340

[7] Gilbarg, David, Trudinger, Neil S. Elliptic partial differential equations of second order 1983

[8] John, F., Nirenberg, L. On functions of bounded mean oscillation Comm. Pure Appl. Math. 1961 415 426

[9] Minakshisundaram, S., Pleijel, Å. Some properties of the eigenfunctions of the Laplace-operator on Riemannian manifolds Canad. J. Math. 1949 242 256

[10] Mckean, H. P., Jr., Singer, I. M. Curvature and the eigenvalues of the Laplacian J. Differential Geometry 1967 43 69

[11] Osgood, B., Phillips, R., Sarnak, P. Extremals of determinants of Laplacians J. Funct. Anal. 1988 148 211

[12] Osgood, B., Phillips, R., Sarnak, P. Compact isospectral sets of surfaces J. Funct. Anal. 1988 212 234

[13] Osgood, B., Phillips, R., Sarnak, P. Moduli space, heights and isospectral sets of plane domains Ann. of Math. (2) 1989 293 362

[14] Schoen, Richard Conformal deformation of a Riemannian metric to constant scalar curvature J. Differential Geom. 1984 479 495

[15] Wolf, Joseph A. Spaces of constant curvature 1967

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