Manifolds of Riemannian metrics with prescribed scalar curvature
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- by Arthur E. Fischer and Jerrold E. Marsden PDF
- Bull. Amer. Math. Soc. 80 (1974), 479-484
References
- M. Berger and D. Ebin, Some decompositions of the space of symmetric tensors on a Riemannian manifold, J. Differential Geometry 3 (1969), 379–392. MR 266084
- Dieter R. Brill and Stanley Deser, Instability of closed spaces in general relativity, Comm. Math. Phys. 32 (1973), 291–304. MR 329548
- David G. Ebin, The manifold of Riemannian metrics, Global Analysis (Proc. Sympos. Pure Math., Vol. XV, Berkeley, Calif., 1968) Amer. Math. Soc., Providence, R.I., 1970, pp. 11–40. MR 0267604
- Arthur E. Fischer and Jerrold E. Marsden, Linearization stability of the Einstein equations, Bull. Amer. Math. Soc. 79 (1973), 997–1003. MR 426035, DOI 10.1090/S0002-9904-1973-13299-9
- Arthur E. Fischer and Jerrold E. Marsden, Manifolds of Riemannian metrics with prescribed scalar curvature, Bull. Amer. Math. Soc. 80 (1974), 479–484. MR 346839, DOI 10.1090/S0002-9904-1974-13457-9
- Arthur E. Fischer and Joseph A. Wolf, The Calabi construction for compact Ricci flat Riemannian manifolds, Bull. Amer. Math. Soc. 80 (1974), 92–97. MR 383299, DOI 10.1090/S0002-9904-1974-13368-9
- Arthur E. Fischer and Joseph A. Wolf, The structure of compact Ricci-flat Riemannian manifolds, J. Differential Geometry 10 (1975), 277–288. MR 377759
- Jerry L. Kazdan and F. W. Warner, Curvature functions for $2$-manifolds with negative Euler characteristic, Bull. Amer. Math. Soc. 78 (1972), 570–574. MR 320947, DOI 10.1090/S0002-9904-1972-13006-4
- Jerry L. Kazdan and F. W. Warner, Curvature functions for $2$-manifolds, Partial differential equations (Proc. Sympos. Pure Math., Vol. XXIII, Univ. California, Berkeley, Calif., 1971) Amer. Math. Soc., Providence, R.I., 1973, pp. 387–392. MR 0343207
- André Lichnerowicz, Propagateurs et commutateurs en relativité générale, Inst. Hautes Études Sci. Publ. Math. 10 (1961), 56 (French). MR 157736
- André Lichnerowicz, Spineurs harmoniques, C. R. Acad. Sci. Paris 257 (1963), 7–9 (French). MR 156292
- Jürgen Moser, On the volume elements on a manifold, Trans. Amer. Math. Soc. 120 (1965), 286–294. MR 182927, DOI 10.1090/S0002-9947-1965-0182927-5
- Morio Obata, Certain conditions for a Riemannian manifold to be isometric with a sphere, J. Math. Soc. Japan 14 (1962), 333–340. MR 142086, DOI 10.2969/jmsj/01430333
- Joseph A. Wolf, Spaces of constant curvature, 2nd ed., University of California, Department of Mathematics, Berkeley, Calif., 1972. MR 0343213
Additional Information
- Journal: Bull. Amer. Math. Soc. 80 (1974), 479-484
- MSC (1970): Primary 53C25, 58D15; Secondary 35J60, 58G99, 47H15
- DOI: https://doi.org/10.1090/S0002-9904-1974-13457-9
- MathSciNet review: 0346839