total scalar curvature
Recently Published Documents


TOTAL DOCUMENTS

30
(FIVE YEARS 1)

H-INDEX

8
(FIVE YEARS 0)

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
H. Baltazar ◽  
A. Da Silva

Abstract We classify 3-dimensional compact Riemannian manifolds (M 3, g) that admit a non-constant solution to the equation −Δfg +Hess f − f Ric = μ Ric +λg for some special constants (μ, λ), under the assumption that the manifold has cyclic parallel Ricci tensor. Namely, the structures that we study here are: positive static triples, critical metrics of the volume functional, and critical metrics of the total scalar curvature functional. We also classify n-dimensional critical metrics of the volume functional with non-positive scalar curvature and satisfying the cyclic parallel Ricci tensor condition.





2018 ◽  
Vol 92 (1-2) ◽  
pp. 147-158
Author(s):  
Abdenago Barros ◽  
Israel Evangelista


2016 ◽  
Vol 20 (3) ◽  
pp. 699-703 ◽  
Author(s):  
Gabjin Yun ◽  
Jeongwook Chang ◽  
Seungsu Hwang


2015 ◽  
Vol 25 (03) ◽  
pp. 207-225 ◽  
Author(s):  
Simon Willerton

Motivated by Leinster-Cobbold measures of biodiversity, the notion of the spread of a finite metric space is introduced. This is related to Leinster’s magnitude of a metric space. Spread is generalized to infinite metric spaces equipped with a measure and is calculated for spheres and straight lines. For Riemannian manifolds the spread is related to the volume and total scalar curvature. A notion of scale-dependent dimension is introduced and seen for approximations to certain fractals to be numerically close to the Minkowski dimension of the original fractals.



2015 ◽  
Vol 288 (16) ◽  
pp. 1814-1821 ◽  
Author(s):  
A. Barros ◽  
B. Leandro ◽  
E. Ribeiro




2014 ◽  
Vol 18 (5) ◽  
pp. 1439-1458 ◽  
Author(s):  
Gabjin Yun ◽  
Jeongwook Chang ◽  
Seungsu Hwang


Sign in / Sign up

Export Citation Format

Share Document