Release Time:2019-03-09  Hits:

Indexed by: Journal Article

Date of Publication: 2014-11-01

Journal: SCIENCE CHINA-MATHEMATICS

Included Journals: Scopus、SCIE

Volume: 57

Issue: 11

Page Number: 2393-2398

ISSN: 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.