Conformal vector fields on Kaehler manifolds
type: Item
instance of: scholarly article
title: Conformal vector fields on Kaehler manifolds
zbMATH Open document ID: 1232.53026
author: Sharief Deshmukh
published in: Annali dell'Università di Ferrara. Sezione VII. Scienze Matematiche
publication date: 2011-09-13T00:00:00Z
review text: The author studies analytic conformal vector fields on non-compact Kähler manifolds \(M\) and looks for necessary conditions in order that such objects become Killing vector fields. The main results of the paper prove that two such additional hypothesis are: (i) \(\dim M \neq 4\) ; \(M\) has constant nowhere vanishing scalar curvature. (ii) \(\dim M \geq 4\); \(M\) is an Einstein manifold which is not non-Ricci flat.
reviewed by: Gabriel Teodor Pripoae
Mathematics Subject Classification ID: 53B35
Mathematics Subject Classification ID: 53C15
zbMATH DE Number: 5947317
zbMATH Keywords: Kähler manifolds
zbMATH Keywords: Euclidean complex space form
zbMATH Keywords: Ricci curvature
zbMATH Keywords: analytic vector fields
zbMATH Keywords: conformal vector fields
zbMATH Keywords: harmonic vector fields
MaRDI profile type: Publication
full work available at URL: s11565-011-0114-8
OpenAlex ID: W2006893731
Wikidata QID: Q125757686
cites work: Q4720334
cites work: Q3435052
cites work: Conformal gradient vector fields on a compact Riemannian manifold
cites work: Characterizing spheres by conformal vector fields
cites work: Curvature bounds for the spectrum of a compact Riemannian manifold of constant scalar curvature
cites work: Compact submanifolds in space forms
cites work: Submanifolds of positive Ricci curvature in a Euclidean space
cites work: On a differential equation characterizing Euclidean spheres.
cites work: Q3248423
cites work: Certain conditions for a Riemannian manifold to be isometric with a sphere
cites work: Closed conformal vector fields
cites work: Complete Riemannian Manifolds and Some Vector Fields
DOI: 10.1007/S11565-011-0114-8
description: scientific article; zbMATH DE number 5947317