PINCHING THEOREMS FOR TOTALLY REAL MINIMAL SUBMANIFOLDS IN CPn

MURATHAN C., ÖZGÜR C.

GLASGOW MATHEMATICAL JOURNAL, cilt.51, ss.331-339, 2009 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 51
  • Basım Tarihi: 2009
  • Doi Numarası: 10.1017/s001708950900500x
  • Dergi Adı: GLASGOW MATHEMATICAL JOURNAL
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.331-339
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

Let M be an n-dimensional totally real minimal submanifold in CPn. We prove that if M is semi-parallel and the scalar curvature tau, -(n-1)(n-2)(n+1)/2 <= tau <= 0, then M is an open part of the Clifford torus T-n subset of CPn. If M is semi-parallel and the scalar curvature tau, n(n - 1) <= tau <= n(3)-3n+2/2, then M is an open part of the real projective space RPn.