New characteristics of infinitesimal isometry and Ricci solitons

DOI10.1134/S0001434612090155zbMath1261.53046MaRDI QIDQ1929780

Sergey E. Stepanov, Igor G. Shandra

Publication date: 9 January 2013

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

vector fieldRicci tensorcompact Riemannian manifoldLevi-Civita connectionRicci solitoninfinitesimal isometrylocal harmonic transformation

Mathematics Subject Classification ID

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

Related Items (3)

From harmonic mappings to Ricci flows due to the Bochner technique ⋮ Ricci bi-conformal vector fields on homogeneous Gödel-type spacetimes ⋮ Harmonic transforms of complete Riemannian manifolds

Cites Work

• Ricci solitons: The equation point of view
• A note on Ricci solitons
• The Robertson-Walker metric and the symmetries belong to the family of contracted Ricci collineations
• Geometry of infinitesimal harmonic transformations
• Geometry of Ricci solitons
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: New characteristics of infinitesimal isometry and Ricci solitons