arXiv:0908.1714 Abstract | arXiv Analytics

arXiv:0908.1714 [math.DG]Abstract References Reviews Resources

Extrinsic curvatures of distributions of arbitrary codimension

Published 2009-08-12, updated 2010-04-14Version 2

In this article, using the generalized Newton transformation, we define higher order mean curvatures of distributions of arbitrary codimension and we show that they agree with the ones from Brito and Naveira (Ann. Global Anal. Geom. 18, 371-383 (2000)). We also introduce higher order mean curvature vector fields and we compute their divergence for certain distributions and using this we obtain total extrinsic mean curvatures.

Journal: J. Geom. Phys. 60 (2010) 708-713

DOI: 10.1016/j.geomphys.2010.01.003

Categories: math.DG

Subjects: 53C12, 53C15

Keywords: arbitrary codimension, extrinsic curvatures, distributions, define higher order mean curvatures, order mean curvature vector fields

Tags: journal article

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