Topology of phi-convex domains in calibrated manifolds

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Atıf İçin Kopyala

Unal I.

BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, cilt.42, sa.2, ss.259-275, 2011 (SCI-Expanded)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 42 Sayı: 2
• Basım Tarihi: 2011
• Doi Numarası: 10.1007/s00574-011-0014-7
• Dergi Adı: BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Sayfa Sayıları: ss.259-275
• Orta Doğu Teknik Üniversitesi Adresli: Evet

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.