We show that for a generic Riemannian metric, the squared norm of the second fundamental form is a Morse function, i.e. all its critical points are non-degenerate

Non-degeneracy of critical points of the squared norm of the second fundamental form on manifolds with minimal boundary / Cruz-Blázquez, Sergio; Pistoia, Angela. - In: THE JOURNAL OF GEOMETRIC ANALYSIS. - ISSN 1050-6926. - (2023). [10.1007/s12220-023-01395-7]

Non-degeneracy of critical points of the squared norm of the second fundamental form on manifolds with minimal boundary

Angela Pistoia
2023

Abstract

We show that for a generic Riemannian metric, the squared norm of the second fundamental form is a Morse function, i.e. all its critical points are non-degenerate
2023
Prescribed curvature problem · Conformal metric · Morse function · Second fundamental form · Minimal boundary · Transversality theorem
01 Pubblicazione su rivista::01a Articolo in rivista
Non-degeneracy of critical points of the squared norm of the second fundamental form on manifolds with minimal boundary / Cruz-Blázquez, Sergio; Pistoia, Angela. - In: THE JOURNAL OF GEOMETRIC ANALYSIS. - ISSN 1050-6926. - (2023). [10.1007/s12220-023-01395-7]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1689769
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