The zero-norm subspace of bounded cohomology |
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| Authors: | T Soma |
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| Institution: | (1) Department of Mathematical Sciences, College of Science and Engineering, Tokyo Denki University, Hatoyama-machi, Saitama-ken 350-03, Japan, e-mail: soma@r.dendai.ac.jp, JP |
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| Abstract: | Let be a closed, orientable surface of genus > 1. In this paper, non-trivial elements of the third bounded cohomology with are given constructively by using both a hyperbolic metric and a singular euclidean metric on . Furthermore, it is shown that the dimension of the subspace of consisting of zero-norm elements is the cardinality of the continuum.
Received: November 26, 1996 |
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| Keywords: | , Bounded cohomology, hyperbolic structures, measured foliations, |
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