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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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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.