Release Time:2019-03-09  Hits:

Indexed by: Journal Article

Date of Publication: 2013-04-01

Journal: JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS

Included Journals: SCIE

Volume: 22

Issue: 5

ISSN: 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.