On rigidity and scalar curvature of Einstein-type manifolds

DOI10.1142/S0219887818500731zbMath1390.53042OpenAlexW2779004013MaRDI QIDQ4635336

Behroz Bidabad, Mir Ahmad Mirshafeazadeh

Publication date: 16 April 2018

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219887818500731

zbMATH Keywords

scalar curvatureEinstein manifoldYamabe solitonEinstein-type manifoldYamabe quasi-soliton

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Soliton solutions (35C08)

Related Items (2)

On generalized quasi-Einstein manifolds ⋮ On the rigidity of generalized quasi-Einstein manifolds

Cites Work

• Unnamed Item
• On noncompact quasi Yamabe gradient solitons
• The Ricci flow in Riemannian geometry. A complete proof of the differentiable 1/4-pinching sphere theorem
• On complete Yamabe solitons
• A compact gradient generalized quasi-Einstein metric with constant scalar curvature
• Rigidity of gradient Ricci solitons
• On the geometry of gradient Einstein-type manifolds
• Closed conformal vector fields
• Scalar Curvature Functions in a Conformal Class of Metrics and Conformal Transformations
• ON THE GLOBAL STRUCTURE OF CONFORMAL GRADIENT SOLITONS WITH NONNEGATIVE RICCI TENSOR
• Complete Riemannian Manifolds and Some Vector Fields
• On compact Ricci solitons in Finsler geometry

This page was built for publication: On rigidity and scalar curvature of Einstein-type manifolds