arXiv Open Access 2019

Great Circle Fibrations and Contact Structures on Odd-Dimensional Spheres

Herman Gluck Jingye Yang

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Abstrak

It is known that for every smooth great circle fibration of the 3-sphere, the distribution of tangent 2-planes orthogonal to the fibres is a contact structure, in fact a tight one, but we show here that, beginning with the 5-sphere, there exist smooth great circle fibrations of all odd-dimensional spheres for which the hyperplane distribution orthogonal to the fibres is not a contact structure.

Topik & Kata Kunci

math.DG math.GT

Penulis (2)

Herman Gluck

Jingye Yang

Format Sitasi

APA MLA BibTeX

Gluck, H., Yang, J. (2019). Great Circle Fibrations and Contact Structures on Odd-Dimensional Spheres. https://arxiv.org/abs/1901.06370

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2019
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓