Besse conjecture with positive isotropic curvature

نویسندگان

چکیده

The critical point equation arises as a of the total scalar curvature functional defined on space constant metrics unit volume compact manifold. In this equation, there exists function f manifold that satisfies following $$\begin{aligned} (1+f)\mathrm{Ric} = Ddf + \frac{nf +n-1}{n(n-1)}sg. \end{aligned}$$ It has been conjectured if (g, f) is solution then g Einstein and so (M, g) isometric to standard sphere. paper, we show conjecture true given Riemannian metric positive isotropic curvature.

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ژورنال

عنوان ژورنال: Annals of Global Analysis and Geometry

سال: 2022

ISSN: ['1572-9060', '0232-704X']

DOI: https://doi.org/10.1007/s10455-022-09863-z