This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
AUBIN, T., Nonlinear analysis on manifolds. Monge-Ampère equations. Die Grundlehren der Math., Vol 252, Springer-Verlag, New York, 1982.
GILBARG, D. and TRUDINGER, N., Elliptic Partial Differential Equations of Second Order, 2nd edition, Die Grundlehren der Math., Vol. 224, Springer-Verlag, New York, 1983.
KAZDAN, JERRY L., Prescribing the Curvature of a Riemannian Manifold, CBMS Regional Conference Series in Math., No. 57, American Math. Soc., Providence, R.I., 1985.
BRÉZIS, H., Analyse Fonctionnelle, Mason, Paris, 1983.
WARNER, F.W., Foundations of Differentiable Manifolds and Lie Groups, Springer-Verlag, New York, 1984 (reprinted from the 1971 edition published by Scott-Foresman).
MORREY, C.B., Multiple Integrals in the Calculus of Variations, Die Grundlehren der Math., Vol. 130, Springer-Verlag, New York, 1966.
ATIYAH, M.F., "The Heat Equation in Riemannian Geometry", Seminaire Bourbaki 1973/1974, Exp. 436, Lecture Notes in Math., Vol.431, Springer-Verlag, Berlin, 1975.
WU, H., "The Bochner Technique", Proc. 1980 Bejing Sympos. on Diff. Geom. and Diff. Eq., Vol. 2, (S.S. Chern and Wu Wen-tsun, editors), Science Press, China, and Gordon & Breach, New York, 1982, 929–1072
GROMOV, M., and LAWSON, H.B., "Positive curvature and the Dirac operator on complete Riemannian manifolds", Inst. Hautes Études Sci. Publ. Math., 59 (1983), 83–196.
NIRENBERG, L., Lectures on Linear Partial Differential Equations, C.B.M.S. Regional Conference Series in Math., No. 17, Amer. Math. Soc., Providence, R.I., 1973.
Editor information
Rights and permissions
Copyright information
© 1987 Springer-Verlag
About this chapter
Cite this chapter
Kazdan, J.L. (1987). Partial differential equations in differential geometry. In: Hansen, V.L. (eds) Differential Geometry. Lecture Notes in Mathematics, vol 1263. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0078612
Download citation
DOI: https://doi.org/10.1007/BFb0078612
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-18012-8
Online ISBN: 978-3-540-47249-0
eBook Packages: Springer Book Archive