On the singularities of the exponential map in infinite dimensional Riemannian manifolds

Mathematische Annalen

Volumn 336, Issue 2, 2006, Pages 247-267

  Biliotti, Leonardo ^a   Exel, Ruy ^b   Piccione, Paolo ^c   Tausk, Daniel V ^c  

^a UNIVERSITÀ POLITECNICA DELLE MARCHE   (Italy)

^b FEDERAL UNIVERSITY OF SANTA CATARINA   (Brazil)

^c UNIVERSITY OF SÃO PAULO   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33748865952     PISSN: 00255831     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00208-006-0001-2     Document Type: Article

References (8)

1. Giannoni, F., Masiello, A., Piccione, P., Tausk, D.V.: A Generalized index theorem for Morse-Sturm systems and applications to semi-Riemannian geometry. Asian I Math. 5(3) (2001)
2. Grossman, N.: Hilbert manifolds without epiconjugate points. Proc. Am. Math. Soc. 16, 1365-1371 (1965)
3. Krasnosel'skii, M. A.: Topological Methods in the Theory of Nonlinear Integral Equations. Pergamon, Oxford, (1964)
4. Misiolek, G.: The exponential map on the free loop space is Fredholm. Geom. Funct. Anal. 7, 954-969 (1997)
5. Piccione, P., Portaluri, A., Tausk, D.V.: Spectral flow, Maslov index and bifurcation of semi-Riemannian geodesics. Ann. Global Anal. Geom. 25(2), 121-149 (2004)
6. Piccione, P., Tausk, D.V.: On the distribution of conjugate points along semi-Riemannian geodesics. Commun. Analy. Geom. 11(1), 33-48 (2003)
7. Piccione, P., Tausk, D.V.: Complementary Lagrangians in infinite dimensional symplectic Hilbert spaces. An. Acad. Brasil. Ciênc. 77(4), 589-594 (2005)
8. Warner, F.: The conjugate locus of a Riemannian manifold. Am. J. Math. 87, 575-604 (1965)