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.

Anahtar Kelimeler:

Spin ve 〖Spin〗^c geometry, Dirac operatörü, Öz değer tahminleri

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.

Keywords:

Spin and 〖Spin〗^c geometry, Dirac operator, Estimation of eigenvalues,

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