On complete Kählerian manifolds endowed with closed conformal vector fields

DOI10.1007/s13398-023-01459-xOpenAlexW4379259532WikidataQ124967510 ScholiaQ124967510MaRDI QIDQ6100721

Luis J. Alías, Antonio Caminha, F. Yure do Nascimento

Publication date: 22 June 2023

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-023-01459-x

zbMATH Keywords

Sasakian manifoldmaximum principle at infinityconformal vector fieldkählerian manifold

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Rigidity results (53C24) Local differential geometry of Hermitian and Kählerian structures (53B35) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Cites Work

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• The geometry of closed conformal vector fields on Riemannian spaces
• Lagrangian submanifolds of \(C^n\) with conformal Maslov form and the Whitney sphere
• Closed conformal vector fields and Lagrangian submanifolds in complex space forms.
• Gradient Ricci solitons admitting a closed conformal vector field
• A maximum principle at infinity with applications to geometric vector fields
• Sasaki-Einstein Manifolds
• On the structure of complete k\"ahlerian manifolds furnished with closed conformal vector fields
• Critical point equation and closed conformal vector fields

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