On the second variation of the identity map of a product manifold

DOI10.2748/TMJ/1178224608zbMath0970.58010OpenAlexW2138291497MaRDI QIDQ1587378

Ali Fardoun, Andrea Ratto

Publication date: 16 October 2001

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178224608

zbMATH Keywords

harmonic mapsindexnullityJacobi operatoridentity map

Mathematics Subject Classification ID

Variational principles in infinite-dimensional spaces (58E30) Harmonic maps, etc. (58E20) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Cites Work

• On geodesic vector fields in compact orientable Riemannian space
• Some results on stable harmonic maps
• On the spectra of Laplace operator on \(\Lambda^*(S^n)\)
• La formule de la variation seconde de l'energie au voisinage d'une application harmonique
• Opérateur de courbure et laplacien des formes différentielles d'une variété riemannienne
• Le spectre d'une variété riemannienne. (The spectrum of a Riemannian manifold)
• Another Report on Harmonic Maps
• The Second Variation Formula for Harmonic Mappings
• Curvature and Betti Numbers. (AM-32)
• Unnamed Item
• Unnamed Item

This page was built for publication: On the second variation of the identity map of a product manifold