Generic properties of critical points of the scalar curvature for a Riemannian manifold
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- by Anna Maria Micheletti and Angela Pistoia PDF
- Proc. Amer. Math. Soc. 138 (2010), 3277-3284 Request permission
Abstract:
Given $(M,g)$ a smooth compact Riemannian $N-$manifold, we prove that for generic Riemannian metric $g$ the critical points of the scalar curvature are nondegenerate.References
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Additional Information
- Anna Maria Micheletti
- Affiliation: Dipartimento di Matematica Applicata “U. Dini”, Università di Pisa, via F. Buonarroti 1/c, 56100 Pisa, Italy
- Email: a.micheletti@dma.unipi.it
- Angela Pistoia
- Affiliation: Dipartimento di Metodi e Modelli Matematici, Università di Roma “La Sapienza”, via Antonio Scarpa 16, 00161 Roma, Italy
- Email: pistoia@dmmm.uniroma1.it
- Received by editor(s): April 13, 2009
- Published electronically: April 16, 2010
- Additional Notes: The authors were supported by Mi.U.R. project “Metodi variazionali e topologici nello studio di fenomeni non lineari”.
- Communicated by: Matthew J. Gursky
- © Copyright 2010 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 138 (2010), 3277-3284
- MSC (2010): Primary 53A99, 53C21
- DOI: https://doi.org/10.1090/S0002-9939-10-10382-7
- MathSciNet review: 2653957