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Topologically minimal surfaces versus self-amalgamated Heegaard surfaces
Authors:Qiang E  FengChun Lei
Institution:1. School of Mathematical Sciences, Dalian University of Technology, Dalian, 116024, China
Abstract:Let V S W be a Heegaard splitting of M, such that ? M = ?_W = F 1F 2 and g(S) = 2g(F 1) = 2g(F 2). Let V* ∪ S* W* be the self-amalgamation of V S W. We show if d(S) ? 3 then S* is not a topologically minimal surface.
Keywords:-manifolds  self-amalgamation  Heegaard surfaces  topologically minimal surfaces
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