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A note on CR quaternionic maps
-
S. Marchiafava
and
R. Pantilie
Published/Copyright:
October 1, 2013
Abstract
We introduce the notion of CR quaternionic map and we prove that any such realanalytic map, between CR quaternionic manifolds, is the restriction of a quaternionic map between quaternionic manifolds. As an application, we prove, for example, that for any submanifold M of dimension 4k-1 of a quaternionic manifold N such that TM generates a quaternionic subbundle of TN|M of (real) rank 4k, there exists, locally, a quaternionic submanifold of N containing M as a hypersurface.
Published Online: 2013-10-01
Published in Print: 2013-10
© 2013 by Walter de Gruyter GmbH & Co.
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Articles in the same Issue
- Masthead
- Some remarks on Nijenhuis brackets, formality, and Kähler manifolds
- Semifields from skew polynomial rings
- A note on CR quaternionic maps
- On maximal curves of Fermat type
- On the singular locus of sets definable in a quasianalytic structure
- A product integral representation of mixed volumes of two convex bodies
- The Tutte polynomial of the Sierpiński and Hanoi graphs
- A lower bound for the Ricci curvature of submanifolds in generalized Sasakian space forms
- The canonical contact structure on the space of oriented null geodesics of pseudospheres and products
- Inscribable stacked polytopes
- Differential Harnack estimates for backward heat equations with potentials under an extended Ricci flow
