Lower Bounds for the Eigenvalues of the Dirac Operator on Spin c Manifolds
Iranian Journal of Science and Technology, Transaction A: Science, cilt.44, sa.1, ss.251-257, 2020 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 44 Sayı: 1
- Basım Tarihi: 2020
- Doi Numarası: 10.1007/s40995-020-00823-5
- Dergi Adı: Iranian Journal of Science and Technology, Transaction A: Science
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, ABI/INFORM, Aerospace Database, Agricultural & Environmental Science Database, Aqualine, Aquatic Science & Fisheries Abstracts (ASFA), BIOSIS, CAB Abstracts, Communication Abstracts, zbMATH
- Sayfa Sayıları: ss.251-257
- Anahtar Kelimeler: Dirac operator, Estimation of eigenvalues, Spin and Spinc geometry
- Marmara Üniversitesi Adresli: Hayır
Özet
In this paper, we generalize lower bound estimates for the eigenvalue of the Dirac operator defined on compact Riemannian Spinc-manifold proved by R. Nakad 2010. Then, we improve our estimates in terms of the first eigenvalue of the Yamabe number and energy–momentum tensor.