Topology of phi-convex domains in calibrated manifolds
BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, vol.42, no.2, pp.259-275, 2011 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 42 Issue: 2
- Publication Date: 2011
- Doi Number: 10.1007/s00574-011-0014-7
- Journal Name: BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.259-275
- Middle East Technical University Affiliated: Yes
Abstract
In [5], Harvey and Lawson showed that for any calibration phi there is an integer bound for the homotopy dimension of a strictly phi-convex domain and constructed a method to get these domains by using phi-free submanifolds. Here, we show how to get examples of phi-free submanifolds with different homotopy types for the quaternion calibration in H(n), associative calibration, and coassociative calibration in G(2) manifolds. Hence we give examples of strictly phi-convex domains with different homotopy types allowed by Morse Theory.