ar X iv : m at h / 03 09 40 8 v 2 [ m at h . D G ] 1 2 Ju l 2 00 4 EINSTEIN METRICS ON SPHERES
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چکیده
منابع مشابه
ar X iv : m at h / 02 03 25 4 v 1 [ m at h . D G ] 2 4 M ar 2 00 2 STABILITY , ENERGY FUNCTIONALS , AND KÄHLER - EINSTEIN METRICS
Starting with the work of Yau [Y1], Donaldson [D1], and Uhlenbeck-Yau [UY], the notion of stability has revealed itself under many guises to be closely related to the existence of canonical metrics in Kähler geometry. The equivalence between Hermitian-Einstein metrics on vector bundles and Mumford stability was proved by Donaldson and Uhlenbeck-Yau in [D1] and [UY], while the existence of Kähle...
متن کاملar X iv : m at h / 05 02 09 4 v 2 [ m at h . D G ] 1 5 M ar 2 00 5 THE SECOND YAMABE INVARIANT
Let (M, g) be a compact Riemannian manifold of dimension n ≥ 3. We define the second Yamabe invariant as the infimum of the second eigenvalue of the Yamabe operator over the metrics conformal to g and of volume 1. We study when it is attained. As an application, we find nodal solutions of the Yamabe equation.
متن کاملar X iv : 0 80 4 . 27 45 v 1 [ m at h . D G ] 1 7 A pr 2 00 8 UNIVERSAL RECURSIVE FORMULAS FOR Q - CURVATURE
We discuss recursive formulas for Branson’sQ-curvatures. The formulas present Q-curvatures of any order in terms of lower order Qcurvatures and lower order GJMS-operators. These presentations are universal in the sense that the recursive structure does not depend on the dimension of the underlying space. We give proofs for Q4 and Q6 for general metrics, and for Q8 for conformally flat metrics. ...
متن کاملar X iv : m at h / 04 09 56 9 v 4 [ m at h . A G ] 1 7 Ju l 2 00 6 INTERMEDIATE MODULI SPACES OF STABLE MAPS
We describe the Chow ring with rational coefficients of M0,1(P , d) as the subring of invariants of a ring B(M0,1(P , d);Q), relative to the action of the group of symmetries Sd. We compute B(M0,1(P , d);Q) by following a sequence of intermediate spaces for M0,1(P , d).
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