Work

Conformal gradient vector fields on Riemannian manifolds with boundary

Year: 2019

Type: article

Abstract: Let $(M^n,g)$ be an $n$-dimensional compact connected Riemannian manifold with smooth boundary. We show that the presence of a nontrivial conformal gradient vector field on $M$, with an appropriate control on the Ricci curvature, causes $M$ to be isometri

Source: Colloquium Mathematicum

DOI: 10.4064/cm7638-12-2018

Authors: Israel Evangelista, Emanuel Viana

Institutions: Universidade Federal do Piauí, Universidade Federal do Ceará, Instituto Federal de Educação, Ciência e Tecnologia do Ceará

Language: English

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2799677452

FWCI: 0.992

Cites: 8

Cited by: 6

Related to: 20