On Gromov’s scalar curvature conjecture
نویسندگان
چکیده
منابع مشابه
Normal Scalar Curvature Conjecture and its applications
In this paper, we proved the Normal Scalar Curvature Conjecture and the Böttcher–Wenzel Conjecture. We developed a new Bochner formula and it becomes useful with the first conjecture we proved. Using the results, we established some new pinching theorems for minimal submanifolds in spheres. Published by Elsevier Inc.
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Conditions on the geometric structure of a complete Riemannian manifold are given to solve the prescribed scalar curvature problem in the positive case. The conformal metric obtained is complete. A minimizing sequence is constructed which converges strongly to a solution. In a second part, the prescribed scalar curvature problem of zero value is solved which is equivalent to find a solution to ...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2010
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-09-10199-5