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Generic properties of critical points of the scalar curvature for a Riemannian manifold
Author(s):
Anna
Maria
Micheletti;
Angela
Pistoia
Journal:
Proc. Amer. Math. Soc.
138
(2010),
3277-3284.
MSC (2010):
Primary 53A99, 53C21
Posted:
April 16, 2010
MathSciNet review:
2653957
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Additional information
Abstract:
Given  a smooth compact Riemannian  manifold, we prove that for generic Riemannian metric  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
DOI:
10.1090/S0002-9939-10-10382-7
PII:
S 0002-9939(10)10382-7
Keywords:
Scalar curvature,
nondegenerate critical points.
Received by editor(s):
April 13, 2009
Posted:
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 of article:
Copyright
2010,
American Mathematical Society
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