Generalization of Kim's estimates in terms of the trace of divergence-free symmetric tensor

Eker S.

Mathematical Methods in the Applied Sciences, cilt.45, sa.9, ss.5471-5482, 2022 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 45 Sayı: 9
  • Basım Tarihi: 2022
  • Doi Numarası: 10.1002/mma.8122
  • Dergi Adı: Mathematical Methods in the Applied Sciences
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Compendex, INSPEC, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.5471-5482
  • Anahtar Kelimeler: Dirac operator, estimation of eigenvalues, optimization, spin and spinc geometry
  • Marmara Üniversitesi Adresli: Evet

Özet

In this paper, we generalized E.C. Kim's estimates by taking into account the trace of the divergence-free symmetric nonzero tensor. We have also shown that E.C. Kim's estimates still valid in the case of the trace of the divergence-free symmetric tensor vanished identically. In the equality case, we characterized eta–Killing spinor with Killing pair over Sasakian spin manifolds.