A characterization of Sasakian space forms by the spectrum

Journal of Geometry and Physics - Tập 90 - Trang 88-94 - 2015
Domenico Perrone1
1Università del Salento, Dipartimento di Matematica e Fisica “E. De Giorgi”, Via Provinciale Lecce-Arnesano, 73100 Lecce, Italy

Tài liệu tham khảo

Gilkey, 1975, Spectral geometry of a Riemannian manifolds, J. Differential Geom., 10, 601, 10.4310/jdg/1214433164 Gilkey, 1979, Recursion relation and the asymptotic behavior of the eigenvalues of the Laplacian, Compos. Math., 38, 201 Gauchman, 1986, Spectral rigidity of compact Kaehler and contact manifolds, Tohoku Math. J., 138, 563, 10.2748/tmj/1178228409 Gauchman, 1987, Characterizing Sm by the spectrum of the Laplacian on 2-forms, Proc. Amer. Math. Soc., 99, 750 Olszak, 1981, The spectrum of the Laplacian and the curvature of Sasakian manifolds, vol. 838, 221 Patodi, 1970, Curvature and the fundamental solution of the heat operator, J. Indian Math. Soc., 34, 269 Perrone, 1988, On the spectral rigidity of CPn, Proc. Amer. Math. Soc., 3, 871 Perrone, 1996, Ricci tensor and spectral rigidity of contact Riemannian 3-manifolds, Bull, Inst. Math. Acad. Sinica, 24, 127 Park, 2012, Spectral geometry of η-Einstein Sasakian manifolds, J. Geom. Phys., 62, 2140, 10.1016/j.geomphys.2012.06.007 Boyer, 2008, Sasakian geometry Yano, 1976, On contact conformal connections, Kodai Math. Sem. Rep., 28, 90, 10.2996/kmj/1138847386 Yano, 1984, Structures on manifolds, vol. 3 Goldberg, 1986, Nonnegatively curved contact manifolds, Proc. Amer. Math. Soc., 96, 651, 10.1090/S0002-9939-1986-0826497-3 Bishop, 1964 Blair, 2010, Riemannian geometry of contact and symplectic manifolds, vol. 203