ON SEVEN DIMENSIONAL 3-SASAKIAN MANIFOLDS

---

Atıf İçin Kopyala

ÖZDEMİR N.

COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, cilt.65, sa.1, ss.127-135, 2016 (ESCI)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 65 Sayı: 1
• Basım Tarihi: 2016
• Doi Numarası: 10.1501/commual_0000000748
• Dergi Adı: COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS
• Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), TR DİZİN (ULAKBİM)
• Sayfa Sayıları: ss.127-135
• Anahtar Kelimeler: 3-Sasakian manifold, Riemannian manifold with structure group G(2), SPINORS
• Anadolu Üniversitesi Adresli: Evet

Özet

3-Sasakian manifolds in dimension seven have cocalibrated and nearly parallel G(2)-structures. In this work, cocalibrated G(2)-structure is deformed by one of the characteristic vector fields of the 3-Sasakian structure and a new G(2) structure is obtained whose metric has negative scalar curvature. In addition, the new G(2) structure has a nonzero Killing vector field. Then, by using this deformation, new covariant derivative on the spinor bundle is obtained and the new Dirac operator is written in terms of the Dirac operator before deformation.