Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/80378
Type: Artigo de periódico
Title: Reflections on closed manifolds
Author: Cruz, RN
Abstract: A local reflection r: M --> M, M a closed and connected manifold, is an involution with a two-sided fixed point submanifold F (in particular, nonempty). We show that beta(0)(F) less than or equal to g(M)+1, g(M) the genus of M (Cornea, 1989). We also show that beta(0)(M - F) less than or equal to 2. If beta(0)(M - F) = 2 we call r a reflection. In this case we prove that r is conjugate to the reflection that exchanges the two copies of M/r in (M) over cap/r = M/r boolean ORpartial derivative M/r. In particular, M is a double. Further results are obtained. The:se involutions arise in Dynamical Systems (Roberts and Quispel, 1986; Teixeira,1997). (C) 1998 Elsevier Science B.V.
Subject: double
local
manifold
reflection
Country: Holanda
Editor: Elsevier Science Bv
Rights: fechado
Identifier DOI: 10.1016/S0166-8641(97)00166-1
Date Issue: 1998
Appears in Collections:Unicamp - Artigos e Outros Documentos

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