Results 201 to 210 of about 71,118 (212)
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1998
Abstract In this chapter we give several models of the 3-dimensional hyperbolic space H3, the definition of hyperbolic 3-manifolds and the representation of them by Kleinian groups. In the last section, we briefly discuss some examples of hyperbolic 3-manifolds.
Katsuhiko Matsuzaki, Masahiko Taniguchi
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Abstract In this chapter we give several models of the 3-dimensional hyperbolic space H3, the definition of hyperbolic 3-manifolds and the representation of them by Kleinian groups. In the last section, we briefly discuss some examples of hyperbolic 3-manifolds.
Katsuhiko Matsuzaki, Masahiko Taniguchi
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Almost Complex Manifolds and Hyperbolicity
Results in Mathematics, 2001One of the sufficient conditions for a complex manifold to be (complete) hyperbolic (that is, its intrinsic pseudo-distance is a (complete) distance) is that it has a (complete) Hermitian metric with holomorphic sectional curvature bounded above by a negative constant. Such a concept of hyperbolicity can be extended to almost complex manifolds. In this
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1994
In this chapter, we construct some examples of hyperbolic 3-manifolds. We begin with a geometric method for constructing spherical, Euclidean, and hyperbolic 3-manifolds in Sections 10.1 and 10.2. Examples of complete hyperbolic 3-manifolds of finite volume are constructed in Section 10.3.
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In this chapter, we construct some examples of hyperbolic 3-manifolds. We begin with a geometric method for constructing spherical, Euclidean, and hyperbolic 3-manifolds in Sections 10.1 and 10.2. Examples of complete hyperbolic 3-manifolds of finite volume are constructed in Section 10.3.
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1994
In this chapter, we take up the study of hyperbolic n-manifolds. We begin with a geometric method for constructing spherical, Euclidean, and hyperbolic re-manifolds. In Section 11.2, we prove Poincare’s fundamental polyhedron theorem for freely acting groups. In Section 11.3, we determine the simplices of maximum volume in hyperbolic n-space.
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In this chapter, we take up the study of hyperbolic n-manifolds. We begin with a geometric method for constructing spherical, Euclidean, and hyperbolic re-manifolds. In Section 11.2, we prove Poincare’s fundamental polyhedron theorem for freely acting groups. In Section 11.3, we determine the simplices of maximum volume in hyperbolic n-space.
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1992
In the projective space \(P_ 3\) two real points \(Q_ 1\), \(Q_ 2\), two real planes and a line \(\ell\) are given; \(Q_ 1\), \(Q_ 2\) lie on the intersection of the planes. \(Q_ 1\), \(Q_ 2\) and the planes form the absolutum of an quasi-hyperbolic space. If \(Q_ 1\), \(Q_ 2\) and the planes are moving the quasi-hyperbolic manifold is performed.
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In the projective space \(P_ 3\) two real points \(Q_ 1\), \(Q_ 2\), two real planes and a line \(\ell\) are given; \(Q_ 1\), \(Q_ 2\) lie on the intersection of the planes. \(Q_ 1\), \(Q_ 2\) and the planes form the absolutum of an quasi-hyperbolic space. If \(Q_ 1\), \(Q_ 2\) and the planes are moving the quasi-hyperbolic manifold is performed.
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Compact Manifolds and Hyperbolicity
Transactions of the American Mathematical Society, 1978openaire +1 more source