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Zapiski Nauchnykh Seminarov POMI, 2018, Volume 467, Pages 60–66
(Mi znsl6563)
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On the spectra of hyperbolic surfaces without thin handles
M. B. Dubashinskiy Chebyshev Laboratory, St. Petersburg State University, St. Petersburg, Russia
Abstract:
We obtain a sharp lower estimate on eigenvalues of Laplace–Beltrami operator on a hyperbolic surface with injectivity radius bounded from the below.
Key words and phrases:
hyperbolic surface, Laplace–Beltrami eigenvalues, Cheeger–Yau isoperimetric inequality.
Received: 18.04.2018
Citation:
M. B. Dubashinskiy, “On the spectra of hyperbolic surfaces without thin handles”, Investigations on linear operators and function theory. Part 46, Zap. Nauchn. Sem. POMI, 467, POMI, St. Petersburg, 2018, 60–66; J. Math. Sci. (N. Y.), 243:6 (2019), 862–866
Linking options:
https://www.mathnet.ru/eng/znsl6563 https://www.mathnet.ru/eng/znsl/v467/p60
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