Abstract
In this chapter we rewrite the evolution equation (3.16) expressing mean curvature flow as an equation on a time-independent neighbourhood of the flowing manifolds. We use this latter equation to compute the evolution of the normal vector, of the mean curvature, and of the square of the norm of the second fundamental form of the flowing hypersurface.
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© 2013 Scuola Normale Superiore Pisa
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Bellettini, G. (2013). Extension of the evolution equation to a neighbourhood. In: Lecture Notes on Mean Curvature Flow, Barriers and Singular Perturbations. Publications of the Scuola Normale Superiore, vol 12. Edizioni della Normale, Pisa. https://doi.org/10.1007/978-88-7642-429-8_6
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DOI: https://doi.org/10.1007/978-88-7642-429-8_6
Publisher Name: Edizioni della Normale, Pisa
Print ISBN: 978-88-7642-428-1
Online ISBN: 978-88-7642-429-8
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