Harmonic maps on contact metric manifolds

DOI10.5802/ambp.46zbMath0851.53018OpenAlexW2058950227MaRDI QIDQ1911507

Anna Maria Pastore, Steriu Ianus

Publication date: 10 November 1996

Published in: Annales Mathématiques Blaise Pascal (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AMBP_1995__2_2_43_0

zbMATH Keywords

harmonic mapalmost contact metric manifold\(\varphi\)-holomorphic map\(\varphi\)-harmonic map

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Harmonic maps, etc. (58E20) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)

Related Items (30)

Energy minimizer maps on \(\mathcal C\)-manifolds ⋮ Harmonicity on some almost contact metric manifolds ⋮ Laplace, Einstein and related equations on \(D\)-general warping ⋮ Holomorphicity and the Walczak formula on Sasakian manifolds ⋮ Harmonic maps and cosymplectic manifolds ⋮ Harmonic maps and para-Sasakian geometry ⋮ Unnamed Item ⋮ Harmonic maps on Sasakian manifolds ⋮ Necessary and sufficient conditions for the Riemannian map to be a harmonic map on cosymplectic manifolds ⋮ Harmonicity on maps between almost contact metric manifolds ⋮ Volume and energy of Reeb vector fields ⋮ Anti-invariant ξ ⊥ -Riemannian Submersions From Hyperbolic β-Kenmotsu Manifolds ⋮ Riemannian submersions from almost contact metric manifolds ⋮ ON HARMONIC AND PSEUDOHARMONIC MAPS FROM PSEUDO-HERMITIAN MANIFOLDS ⋮ Harmonic maps and stability on \(f\)-Kenmotsu manifolds ⋮ Harmonic and Biharmonic Maps at Iaşi ⋮ Elliptic Integrable Systems: a Comprehensive Geometric Interpretation ⋮ Twistorial maps between quaternionic manifolds ⋮ On the geometrized Skyrme and Faddeev models ⋮ Harmonic almost complex structures with respect to general natural metrics ⋮ On the structure and symmetry properties of almost \(\mathcal S\)-manifolds ⋮ Stability of contact metric manifolds and unit vector fields of minimum energy ⋮ On the geometry of tangent hyperquadric bundles: CR and pseudoharmonic vector fields ⋮ Non-existence of harmonic maps on trans-Sasakian manifolds ⋮ Harmonic Riemannian maps on locally conformal Kähler manifolds ⋮ Generalized harmonic maps on normal almost contact manifolds ⋮ A special class of holomorphic mappings and the Faddeev-Hopf model ⋮ Harmonic maps on trans-Sasaki manifolds ⋮ Criticality of K-contact vector fields ⋮ Structures which are harmonic with respect to Walker metrics

Cites Work

• On contact manifolds
• Some global properties of contact structures
• Geometry seminar Luigi Bianchi II - 1984. Lecture given at the Scuola Normale Superiore, Pisa, Italy, 1984
• Contact manifolds in Riemannian geometry
• Sasakian \(\varphi\)-symmetric spaces
• On contact metric manifolds
• Geometry of manifolds with structural group \(\mathcal U(n)\times\mathcal O(s)\)
• Globally framed f-manifolds
• Some transformations on manifolds with almost contact and contact metric structures
• Harmonic Maps and Minimal Immersions with Symmetries (AM-130)
• On Pluriharmonicity of Stable Harmonic Maps
• Another Report on Harmonic Maps
• On fiberings of almost contact manifolds
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Harmonic maps on contact metric manifolds