h-Principle phi-free embeddings in calibrated manifolds

Date

2015-06-01

Author

Ünal, İbrahim

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In this paper, we prove that the h-principle holds for phi-free embeddings for coassociative, Cay ley and quaternionic calibrations. As a result, we show that for coassocative calibration *partial derivative, an orientable smooth closed 4-manifold N-4 can be embedded into any G(2)-manifold M-7 as *partial derivative-free if the Euler characteristic of N, chi(N) and the signature of N, tau(N) are equal to zero.

Subject Keywords

Calibration, h-principle, Phi-free submani fold

URI

https://hdl.handle.net/11511/39964

Journal

INTERNATIONAL JOURNAL OF MATHEMATICS

DOI

https://doi.org/10.1142/s0129167x15500524

Collections

Department of Mathematics, Article

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Citation Formats

İ. Ünal, “h-Principle phi-free embeddings in calibrated manifolds,” INTERNATIONAL JOURNAL OF MATHEMATICS, pp. 0–0, 2015, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/39964.