Topology of phi-convex domains in calibrated manifolds


Unal I.

BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, cilt.42, ss.259-275, 2011 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 42 Konu: 2
  • Basım Tarihi: 2011
  • Doi Numarası: 10.1007/s00574-011-0014-7
  • Dergi Adı: BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY
  • Sayfa Sayıları: ss.259-275

Özet

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.