A characterization of Sasakian space forms by the spectrum
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