Advanced Studies in Pure Mathematics

On 4-dimensional CR-Submanifolds of a 6-dimensional Sphere

Hideya Hashimoto, Katsuya Mashimo, and Kouei Sekigawa

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Abstract

We prove several fundamental properties of 4-dimensional CR-submanifolds of a nearly Kähler 6-dimensional sphere and construct explicit examples of such submanifolds.

Article information

Source
Minimal Surfaces, Geometric Analysis and Symplectic Geometry, K. Fukaya, S. Nishikawa and J. Spruck, eds. (Tokyo: Mathematical Society of Japan, 2002), 143-154

Dates
First available in Project Euclid: 31 December 2018

Permanent link to this document
https://projecteuclid.org/ euclid.aspm/1546230294

Digital Object Identifier
doi:10.2969/aspm/03410143

Mathematical Reviews number (MathSciNet)
MR1925736

Zentralblatt MATH identifier
1029.53066

Subjects
Primary: 53B25: Local submanifolds [See also 53C40]
Secondary: 53C15: General geometric structures on manifolds (almost complex, almost product structures, etc.)

Citation

Hashimoto, Hideya; Mashimo, Katsuya; Sekigawa, Kouei. On 4-dimensional CR-Submanifolds of a 6-dimensional Sphere. Minimal Surfaces, Geometric Analysis and Symplectic Geometry, 143--154, Mathematical Society of Japan, Tokyo, Japan, 2002. doi:10.2969/aspm/03410143. https://projecteuclid.org/euclid.aspm/1546230294


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