Zobrazeno 1 - 10
of 28
pro vyhledávání: '"Jens Mennicke"'
Publikováno v:
Matematicheskie Zametki. 81:163-173
This book is concerned with discontinuous groups of motions of the unique connected and simply connected Riemannian 3-manifold of constant curva ture -1, which is traditionally called hyperbolic 3-space. This space is the 3-dimensional instance of
Publikováno v:
Mathematische Zeitschrift. 238:389-399
Publikováno v:
Mathematische Zeitschrift. 206:35-56
Publikováno v:
Inventiones Mathematicae. 101:641-685
Publikováno v:
Springer Monographs in Mathematics ISBN: 9783642083020
In the present Chapter we give applications and finer points of the spectral theory of the Laplace-Beltrami operator Δ on L2(Γ\IH) in case Γ < PSL(2, ℂ) is a discrete cocompact group. We already know from the preceding Chapter that —Δ is esse
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https://explore.openaire.eu/search/publication?articleId=doi_________::573a21d3afb04fe051b097bbcc9cdb4d
https://doi.org/10.1007/978-3-662-03626-6_5
https://doi.org/10.1007/978-3-662-03626-6_5
Publikováno v:
Springer Monographs in Mathematics ISBN: 9783642083020
In the present chapter we analyse the operation of the Laplace-Beltrami operator on its natural domain in the Hilbert space L 2 (Г\IH) of squareintegrable functions on Г\IH for discrete subgroups Г < PSL(2, ℂ) in the frame-work of Hilbert space
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https://doi.org/10.1007/978-3-662-03626-6_4
https://doi.org/10.1007/978-3-662-03626-6_4
Publikováno v:
Springer Monographs in Mathematics ISBN: 9783642083020
Suppose that \(K = Q\left( {\sqrt D } \right) \) is an imaginary quadratic number field (D ∈ ℤ, D < 0 and square-free) and let Thuong be the ring of integers of K. We consider here the group PSL(2, Thuong) ⊂ PSL(2, ℂ). We already know from Ch
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https://doi.org/10.1007/978-3-662-03626-6_8
https://doi.org/10.1007/978-3-662-03626-6_8
Publikováno v:
Springer Monographs in Mathematics ISBN: 9783642083020
Having discussed the general theory of discontinuous groups on 3-dimensional hyperbolic space, we shall start in this chapter with the first of several series of arithmetic examples of such groups. This chapter will also fix the notation concerning i
Externí odkaz:
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https://doi.org/10.1007/978-3-662-03626-6_7
https://doi.org/10.1007/978-3-662-03626-6_7
Publikováno v:
Springer Monographs in Mathematics ISBN: 9783642083020
This chapter contains various constructions for discontinuous groups of isometries of hyperbolic 3-space. Since we often use the terminology of Coxeter groups we report on this here. For the general theory of these groups see Bourbaki (1968).
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https://doi.org/10.1007/978-3-662-03626-6_10
https://doi.org/10.1007/978-3-662-03626-6_10