Lower Bounds for the Eigenvalues of the Dirac Operator on Spin c Manifolds

Eker S.

Iranian Journal of Science and Technology, Transaction A: Science, cilt.44, sa.1, ss.251-257, 2020 (SCI-Expanded) identifier

  • 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.