Sabit Uzunluklu Harmonik 1−Form Kullanılarak ???????????????????? Dirac Operatörünün Özdeğerlerine Tahminler

Bu makalede, sıfır olmayan sabit uzunluklu harmonik 1-formu kabul eden (????≥3)−boyutlu kompakt bir Riemann ????????????????????−manifoldu üzerinde tanımlı ???????????????????? Dirac operatörünün öz değeri için alt sınır elde ettik. Daha sonra, limit durumunda harmonik 1−formun paralel olduğunu gösterdik.

Eigenvalue Estimates Using Harmonic 1−Form of Constant Length for The ???????????????????? Dirac Operator

In this paper, we obtain a lower bound for the eigenvalue of the ???????????????????? Dirac operator on an (????≥3)−dimensional compact Riemannian Spin ????−manifold admitting a non−zero harmonic 1−form of constant length. Then we show that, in the limiting case, this 1−form is parallel.

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Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi-Cover
  • ISSN: 2146-0574
  • Yayın Aralığı: Yılda 4 Sayı
  • Başlangıç: 2011
  • Yayıncı: -