Year: 2025
Type: article
Abstract: Let .M; F / be a connected (not necessarily compact) foliated manifold carrying a complete Riemannian metric g TM .We generalize Gromov's K-cowaist using the coverings of M , as well as defining a closely related concept called the y A-cowaist.Let k F be the associated leafwise scalar curvature of g F D g TM j F .We obtain some estimates on k F using these two concepts.In particular, assuming that the generalized K-cowaist is infinity and either TM or F is spin, we show that inf.kF / Ä 0. 58J20; 53C12, 53C21 z
Source: Algebraic & Geometric Topology
Authors: Guangxiang Su, Xiangsheng Wang
Institutions: Nankai University, Shandong University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
OpenAlex ID: W4413379854