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Indexed by:期刊论文

Date of Publication:2013-04-01

Journal:JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS

Included Journals:SCIE

Volume:22

Issue:5

ISSN No.:0218-2165

Key Words:Critical Heegaard surface; self-amalgamation; Heegaard distance; surface bundle

Abstract:Critical surfaces can be regarded as topological index 2 minimal surfaces which was introduced by David Bachman. In this paper, we give a sufficient condition and a necessary condition for self-amalgamated Heegaard surfaces to be critical.