Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
S. Cohn-Vossen, Kürzeste Wege und Totalkrümmung auf Flächen, Compositio Math. 2 (1935), 69–133.
A. Duschek, Zur geometrischen Variationsrechnung, Math. Z. 40 (1936), 279–291.
D. Fischer-Colbrie, On complete minimal surfaces with finite Morse index, Inventiones Math. 82 (1985), 121–132.
G. Gulliver, Index and total curvature of complete minimal surfaces, Proc. Symp. Pure Math. 44 (1986), 207–212.
R. Gulliver and H.B. Lawson, The structure of stable minimal hypersurfaces near a singularity, Proc. Symp. Pure Math. 44 (1986), 213–237.
H. Hardt, Topological properties of subanalytic sets, Trans. Amer. Math. Soc. 211 (1975), 57–70.
H. Lewy, Aspects of the Calculus of Variations, University of California Press, Berkeley 1939.
R. Osserman, A survey of minimal surfaces, Van Nostrand-Reinhold, New York 1969.
R. Schoen, Uniqueness, symmetry and embeddedness of minimal surfaces, J. Differential Geom. 18 (1983), 791–809.
R. Schoen and S.-T. Yau, Existence of incompressible minimal surfaces and the topology of three-dimensional manifolds with non-negative scalar curvature, Annals of Math. 110 (1979), 127–142.
Author information
Authors and Affiliations
Editor information
Additional information
Dedicated to Hans Lewy
Rights and permissions
Copyright information
© 1988 Springer-Verlag
About this paper
Cite this paper
Gulliver, R. (1988). Minimal surfaces of finite index in manifolds of positive scalar curvature. In: Hildebrandt, S., Kinderlehrer, D., Miranda, M. (eds) Calculus of Variations and Partial Differential Equations. Lecture Notes in Mathematics, vol 1340. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0082890
Download citation
DOI: https://doi.org/10.1007/BFb0082890
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-50119-0
Online ISBN: 978-3-540-45932-3
eBook Packages: Springer Book Archive