Calibrated associative and Cayley embeddings
Publication
, Journal Article
Robles, C; Salur, S
Published in: Asian Journal of Mathematics
January 1, 2009
Using the Cartan-Kähler theory, and results on real algebraic structures, we prove two embedding theorems. First, the interior of a smooth, compact 3-manifold may be isometrically embedded into a G2-manifold as an associative submanifold. Second, the interior of a smooth, compact 4-manifold K, whose double doub(K) has a trivial bundle of self-dual 2-forms, may be isometrically embedded into a Spin(7)-manifold as a Cayley submanifold. Along the way, we also show that Bochner's Theorem on real analytic approximation of smooth differential forms, can be obtained using real algebraic tools developed by Akbulut and King. © 2009 International Press.
Duke Scholars
Published In
Asian Journal of Mathematics
DOI
ISSN
1093-6106
Publication Date
January 1, 2009
Volume
13
Issue
3
Start / End Page
287 / 306
Related Subject Headings
- General Mathematics
- 4904 Pure mathematics
- 4901 Applied mathematics
- 0101 Pure Mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
Robles, C., & Salur, S. (2009). Calibrated associative and Cayley embeddings. Asian Journal of Mathematics, 13(3), 287–306. https://doi.org/10.4310/AJM.2009.v13.n3.a1
Robles, C., and S. Salur. “Calibrated associative and Cayley embeddings.” Asian Journal of Mathematics 13, no. 3 (January 1, 2009): 287–306. https://doi.org/10.4310/AJM.2009.v13.n3.a1.
Robles C, Salur S. Calibrated associative and Cayley embeddings. Asian Journal of Mathematics. 2009 Jan 1;13(3):287–306.
Robles, C., and S. Salur. “Calibrated associative and Cayley embeddings.” Asian Journal of Mathematics, vol. 13, no. 3, Jan. 2009, pp. 287–306. Scopus, doi:10.4310/AJM.2009.v13.n3.a1.
Robles C, Salur S. Calibrated associative and Cayley embeddings. Asian Journal of Mathematics. 2009 Jan 1;13(3):287–306.
Published In
Asian Journal of Mathematics
DOI
ISSN
1093-6106
Publication Date
January 1, 2009
Volume
13
Issue
3
Start / End Page
287 / 306
Related Subject Headings
- General Mathematics
- 4904 Pure mathematics
- 4901 Applied mathematics
- 0101 Pure Mathematics