Eigenvalue Estimates Using Harmonic 1−Form of Constant Length for The 𝑺𝒑𝒊𝒏𝒄 Dirac Operator
Copyright policy )Eigenvalue Estimates Using Harmonic 1−Form of Constant Length for The 𝑺𝒑𝒊𝒏𝒄 Dirac Operator
In this paper, we obtain a lower bound for the eigenvalue of the 𝑆𝑝𝑖𝑛𝑐 Dirac operator on an (𝑑≥3)−dimensional compact Riemannian Spin 𝑐−manifold admitting a non−zero harmonic 1−form of constant length. Then we show that, in the limiting case, this 1−form is parallel.
Matematik, Dirac operatörü, Öz değer tahminleri], Spin ve 〖Spin〗^c geometry;Dirac operatörü;Öz değer tahminleri, Dirac operator, [Spin and ?????????? geometry, Estimation of eigenvalues] [Spin ve ?????????? geometry, Spin and 〖Spin〗^c geometry;Dirac operator;Estimation of eigenvalues, Mathematical Sciences
Matematik, Dirac operatörü, Öz değer tahminleri], Spin ve 〖Spin〗^c geometry;Dirac operatörü;Öz değer tahminleri, Dirac operator, [Spin and ?????????? geometry, Estimation of eigenvalues] [Spin ve ?????????? geometry, Spin and 〖Spin〗^c geometry;Dirac operator;Estimation of eigenvalues, Mathematical Sciences
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