Skip to main content
Log in

On the geodesic connectedeness of Lorentzian manifolds

  • Published:
Mathematische Zeitschrift Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  • [A] Avez, A.: Essais de géométrie Riemanniene hyperbolique: Applications to the relativité générale. Ann. Inst. Fourier132, 105–190 (1963)

    MathSciNet  Google Scholar 

  • [BP] Beem, J.K., Parker, R.E.: Pseudoconvexity and Geodesic connectedness. Ann. Mat. Pura e Appl. (IV),CLV, 137–142 (1989)

    Article  MathSciNet  Google Scholar 

  • [BF1] Benci, V., Fortunato, D.: Existence of geodesics for the Lorentz metric of a stationary gravitational field. Ann. Inst. H. Poincaré, Analyse non Lineaire7, 27–35 (1990)

    MATH  MathSciNet  Google Scholar 

  • [BF2] Benci, V., Fortunato, D.: On the existence of infinitely many geodesics on spacetime manifolds. Adv. Math. (to appear)

  • [BFG] Benci, V., Fortunato, D., Giannoni, F.: On the existence of multiple geodesics in static space-times. Ann. Inst. H. Poincaré, Analyse non Lineaire8, 79–102 (1991)

    MATH  MathSciNet  Google Scholar 

  • [BFM] Benci, V., Fortunato, D., Masiello, A.: Geodesics in Lorentzian manifolds. Preprint del Dip. Mat. Univ. Bari, 5/92

  • [G] Geroch, R.: Domains of dependence, J. Math. Phys.11, 437–449 (1970)

    Article  MathSciNet  Google Scholar 

  • [ON] O’Neill, B., Semi-Riemannian geometry with applications to Relativity. Academic Press Inc., New York-London, 1983

    MATH  Google Scholar 

  • [Pa] Palais, R.S.: Morse Theory on Hilbert manifols. Topology2, 299–340 (1963)

    Article  MATH  MathSciNet  Google Scholar 

  • [Pe] Penrose, R.: Techniques of differential topology in relativity. Conf. Board Math. Sci. 7, S.I.A.M. Philadelphia, 1972

    MATH  Google Scholar 

  • [R] Rabinowitz, P.H.: MinMax methods in critical point theory with applications to Differential Equations. CMBS Reg. Conf. Soc. Math. n.65, AMS, 1984

  • [Se] Seifert, H.J.: Global connectivity by time-like geodesics, Z. Naturefor.22a, (1970), 1356

    MathSciNet  Google Scholar 

  • [U] Uhlenbeck, K.: A Morse theory for geodesics on a Lorentz manifold. Topology14, (1975), 69–90

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Sponsored by M.U.R.S.T., research founds 40%, 60%

Rights and permissions

Reprints and permissions

About this article

Cite this article

Benci, V., Fortunato, D. & Masiello, A. On the geodesic connectedeness of Lorentzian manifolds. Math Z 217, 73–93 (1994). https://doi.org/10.1007/BF02571935

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02571935

Keywords

Navigation