OLIVEIRA, José Anastácio de. Decaimento do primeiro autovalor do operador de Laplace-Beltrami em superfícies de nível analíticas na esfera. 2016. 51 f. Dissertação (Mestrado em Matemática)- Centro de Ciências, Universidade Federal do Ceará, Fortaleza, 2016. / Submitted by Rocilda Sales (rocilda@ufc.br) on 2016-06-22T13:32:30Z No. of bitstreams: 1 2016_dis_jaoliveira.pdf: 849786 bytes, checksum: 82f035323806adc5483c8bdff1b1231f (MD5) / Approved for entry into archive by Rocilda Sales (rocilda@ufc.br) on 2016-06-22T13:35:16Z (GMT) No. of bitstreams: 1 2016_dis_jaoliveira.pdf: 849786 bytes, checksum: 82f035323806adc5483c8bdff1b1231f (MD5) / Made available in DSpace on 2016-06-22T13:35:16Z (GMT). No. of bitstreams: 1 2016_dis_jaoliveira.pdf: 849786 bytes, checksum: 82f035323806adc5483c8bdff1b1231f (MD5) Previous issue date: 2016 / In the text, will presented one resultad proposed by Paulo Cordaro and Jorge Hounie concerning the possible rate of decay of the first eigenvalue of Laplace-Beltrami operator on a level surface connected in Sn+1, n ≥ 1 This thesis is basead on the paper "The First Eingenvalue of Analytic Level Surfaces on Spheres"of Sagun Chanillo (Mathematical Reseach Letters, vol. 1 (1994), p. 159-166). / Neste texto, será apresentado um resultado proposto por Paulo Cordaro e Jorge Hounie sobre o decaimente do primeiro autovalor do operador de Laplace-Beltrami em uma superfície de nível conexa em Sn+1, n ≥1. Esta dissertação baseia-se no artigo "The First Eingenvalue of Analytic Level Surfaces on Spheres"de Sagun Chanillo (Mathematical Reseach Letters, vol 1 (1994), p. 159-166).