The prescribed curvature problem in dimension four
نویسندگان
چکیده
منابع مشابه
Curvature and Smooth Topology in Dimension Four
Seiberg-Witten theory leads to a delicate interplay between Riemannian geometry and smooth topology in dimension four. In particular, the scalar curvature of any metric must satisfy certain non-trivial estimates if the manifold in question has a non-trivial Seiberg-Witten invariant. However, it has recently been discovered [20, 22] that similar statements also apply to other parts of the curvat...
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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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متن کاملCURVATURE AND SMOOTH TOPOLOGY IN DIMENSION FOUR by
— Seiberg-Witten theory leads to a delicate interplay between Riemannian geometry and smooth topology in dimension four. In particular, the scalar curvature of any metric must satisfy certain non-trivial estimates if the manifold in question has a non-trivial Seiberg-Witten invariant. However, it has recently been discovered [26, 27] that similar statements also apply to other parts of the curv...
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ژورنال
عنوان ژورنال: Journal de Mathématiques Pures et Appliquées
سال: 2009
ISSN: 0021-7824
DOI: 10.1016/j.matpur.2009.10.003