On the Geometry of Some Equivariantly Related Manifolds-Reference-Cited by-同舟云学术

On the Geometry of Some Equivariantly Related Manifolds

Published:2018-11-21 Issue:23 Volume:2020 Page:9730-9768
ISSN:1073-7928
Container-title:International Mathematics Research Notices
language:en
Short-container-title:

Author:

Cavenaghi Leonardo F¹,Sperança Llohann D²

Affiliation:

1. Instituto de Matemática e Estatística – USP, R. do Matão, Vila Universitária, São Paulo - SP, Brazil

2. Instituto de Ciência e Tecnologia – Unifesp, Avenida Cesare Mansueto Giulio Lattes, São José dos Campos, SP, Brazil

Abstract

Abstract We provide geometric realizations of both classical and “exotic” $G$-manifolds such as spheres, Kervaire manifolds, bundles over spheres, homogeneous spaces, and connected sums among them. As an application, we apply the process known as Cheeger deformation to produce new metrics of both positive Ricci and almost non-negative curvature on such objects.

Funder

Conselho Nacional de Pesquisa

Fundação de Amparo à Pesquisa do Estado de São Paulo

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Link

http://academic.oup.com/imrn/article-pdf/2020/23/9730/34659521/rny268.pdf

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