Stability of exponentially harmonic maps

DOI10.1142/S1793525320500193zbMath1479.58014OpenAlexW2951719178MaRDI QIDQ5156544

Yuan-Jen Chiang

Publication date: 11 October 2021

Published in: Journal of Topology and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793525320500193

zbMATH Keywords

stabilityexponentially harmonic mapexponential tension field

Mathematics Subject Classification ID

Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Global Riemannian geometry, including pinching (53C20) Harmonic maps, etc. (58E20)

Cites Work

• Function theory on manifolds which possess a pole
• The nonexistence of stable submanifolds, varifolds, and harmonic maps in sufficiently pinched simply connected Riemannian manifolds
• Pinching and nonexistence of stable harmonic maps
• Exponentially harmonic maps between Finsler manifolds
• Über Riemannsche Mannigfaltigkeiten mit positiver Krümmung
• Transversal wave maps and transversal exponential wave maps
• Exponential wave maps
• Exponentially harmonic maps, exponential stress energy and stability
• Exponentially harmonic maps and their properties
• REGULARITY OF EXPONENTIALLY HARMONIC FUNCTIONS
• On the Conformal Equivalence of Harmonic Maps and Exponentially Harmonic Maps
• The Second Variation Formula for Harmonic Mappings
• The second variation formula for exponentially harmonic maps
• Some examples of exponentially harmonic maps
• ON SACKS–UHLENBECK'S EXISTENCE THEOREM FOR HARMONIC MAPS VIA EXPONENTIALLY HARMONIC MAPS
• On Eells-Sampson’s existence theorem for harmonic maps via exponentially harmonic maps
• Harmonic Mappings of Riemannian Manifolds
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