A note on the Gauss maps of Cayley-free embeddings into spin(7)-manifolds

Ünal, İBRAHİM

doi:10.1016/j.difgeo.2018.07.003

A note on the Gauss maps of Cayley-free embeddings into spin(7)-manifolds

Atıf İçin Kopyala

Ünal İ.

DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, cilt.61, ss.1-8, 2018 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 61
Basım Tarihi: 2018
Doi Numarası: 10.1016/j.difgeo.2018.07.003
Dergi Adı: DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.1-8
Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

We show that a closed, orientable 4-manifold M admits a Cayley-free embedding into flat Spin(7)-manifold R-8 if and only if both the Euler characteristic chi(M) and the signature tau(M) of M vanish. (C) 2018 Elsevier B.V. All rights reserved.