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A note on the Gauss maps of Cayley-free embeddings into spin(7)-manifolds
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Date
2018-12-01
Author
Ünal, İbrahim
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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.
Subject Keywords
Computational Theory and Mathematics
,
Geometry and Topology
,
Analysis
URI
https://hdl.handle.net/11511/47849
Journal
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS
DOI
https://doi.org/10.1016/j.difgeo.2018.07.003
Collections
Department of Mathematics, Article
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İ. Ünal, “A note on the Gauss maps of Cayley-free embeddings into spin(7)-manifolds,”
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS
, pp. 1–8, 2018, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/47849.