Then, we extend these estimates in terms of the Yamabe number and the area of the submanifold under the conformal change of the metric.
📌 3 Key Takeaways
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Objective & Hypothesis:In this paper, we construct two modified spinorial LeviCivita connection based on the EnergyMomentum tensor and its trace to bring an optimal lower bound to the eigenvalues of the compact Riemannian Spinsubmanifold Dirac operator in terms of the the EnergyMomentum tensor and its trace.
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Key Findings & Data:In this paper, we construct two modified spinorial LeviCivita connection based on the EnergyMomentum tensor and its trace to bring an optimal lower bound to the eigenvalues of the compact Riemannian Spinsubmanifold Dirac operator in terms of the the EnergyMomentum tensor and its trace.
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Conclusion & Impact:Then, we extend these estimates in terms of the Yamabe number and the area of the submanifold under the conformal change of the metric.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Spin and 〖Spin〗^c geometry · Dirac operator · Estimation of eigenvalues
Abstract
In this paper, we construct two modified spinorial LeviCivita connection based on the EnergyMomentum tensor and its trace to bring an optimal lower bound to the eigenvalues of the compact Riemannian Spinsubmanifold Dirac operator in terms of the the EnergyMomentum tensor and its trace. Then, we extend these estimates in terms of the Yamabe number and the area of the submanifold under the conformal change of the metric.
Özet
Bu makalede, Kompakt Riemannian Spin altmanifold Dirac operatörünün özdeğerlerine EnergyMomentum tensörü ve onun izine bağlı olarak optimal bir alt sınır getirmek için spinorial LeviCivita konneksiyonunu EnergyMomentum tensörü ve onun izine bağlı olarak deforme ettik. Daha sonra bu tahminleri konformal değişim metriği altında Yamabe sayısı ve altmanifoldun alanına bağlı olarak genişlettik.
EKER, S. (2020). Lower Bound Eigenvalue Problems of the Compact Riemannian Spin-Submanifold Dirac Operator. Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi, Cilt: 13 - Sayı: ÖZEL SAYI I, 56–62. https://ajindex.com/articles/233918
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