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IMA Journal of Mathematical Control and Information 2002 19(4):445-460; doi:10.1093/imamci/19.4.445
© 2002 by Institute of Mathematics and its Applications
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An analytical theory for Riemannian cubic polynomials

Roberto Giambò1, Fabio Giannoni1 and Paolo Piccione2

1 Dipartimento di Matematica, Università di Camerino, Italy 2 Departamento de Matemáatica, Universidade de Sãao Paulo, Brazil

We establish some global existence and multiplicity results for Riemannian cubic polynomials in a complete Riemannian manifold.

Keywords: Riemannian cubic polynomials; Morse theory; Ljusternik–Schnirelman category.


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