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Indexed by:期刊论文

Date of Publication:2014-11-01

Journal:SCIENCE CHINA-MATHEMATICS

Included Journals:SCIE、Scopus

Volume:57

Issue:11

Page Number:2393-2398

ISSN No.:1674-7283

Key Words:3-manifolds; self-amalgamation; Heegaard surfaces; topologically minimal surfaces

Abstract:Let V a(a) (S) W be a Heegaard splitting of M, such that a, M = a,_W = F (1) a(a) F (2) and g(S) = 2g(F (1)) = 2g(F (2)). Let V* a(a) (S*) W* be the self-amalgamation of V a(a) (S) W. We show if d(S) a (c) 3/4 3 then S* is not a topologically minimal surface.