Results 301 to 310 of about 71,314 (310)
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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