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Symmetry, Integrability and Geometry: Methods and Applications, 2024, Volume 20, 038, 25 pp.
DOI: https://doi.org/10.3842/SIGMA.2024.038 (Mi sigma2040) 		 
Product Inequalities for $\mathbb T^\rtimes$-Stabilized Scalar Curvature

Misha Gromovab

a Courant Institute of Mathematical Sciences, New York University, New York, NY 10012-1185, USA
b Institut des Hautes Études Scientifiques, 91893 Bures-sur-Yvette, France
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DOI: https://doi.org/10.3842/SIGMA.2024.038
Abstract: We study metric invariants of Riemannian manifolds $X$ defined via the $\mathbb T^\rtimes$-stabilized scalar curvatures of manifolds $Y$ mapped to $X$ and prove in some cases additivity of these invariants under Riemannian products $X_1\times X_2$.
Keywords: scalar curvature, Riemannian manifold.
Received: June 26, 2023; in final form April 26, 2024; Published online May 8, 2024
Document Type: Article
MSC: 53C21
Language: English
Citation: Misha Gromov, “Product Inequalities for $\mathbb T^\rtimes$-Stabilized Scalar Curvature”, SIGMA, 20 (2024), 038, 25 pp.
Citation in format AMSBIB
\Bibitem{Gro24}
\by Misha~Gromov
\paper Product Inequalities for $\mathbb T^\rtimes$-Stabilized Scalar Curvature
\jour SIGMA
\yr 2024
\vol 20
\papernumber 038
\totalpages 25
\mathnet{http://mi.mathnet.ru/sigma2040}
\crossref{https://doi.org/10.3842/SIGMA.2024.038}
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