Abstract
We shall deal with some problems concerning the scalar curvature of compact riemannian manifolds. In particular we shall deal with the problem of Yamabe: Does there exist a conformal metric for which the scalar curvature is constant? And also problems posed by Chern, Nirenberg and others. All these problems are almost entirely solved, however there remain some open questions (see the conjectures).
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© 1976 D. Reidel Publishing Company, Dordrecht, Holland
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Aubin, T. (1976). The Scalar Curvature. In: Cahen, M., Flato, M. (eds) Differential Geometry and Relativity. Mathematical Physics and Applied Mathematics, vol 3. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-1508-0_2
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DOI: https://doi.org/10.1007/978-94-010-1508-0_2
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