Exponentially Harmonic Maps, Gauss Maps and Gauss Sections
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DOI: 10.1007/s00009-019-1408-9
Abstract: We investigate the relationship of Ricci form, exponential tension field and tension field of the Gauss map of an immersion from a Riemannian manifold into a Riemannian space form. We also study exponentially harmonic Gauss… read more here.
Keywords: maps gauss; gauss sections; harmonic maps; exponentially harmonic ... See more keywords
Exponentially harmonic maps between Finsler manifolds
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DOI: 10.1007/s00229-017-0981-0
Abstract: Exponentially harmonic maps and harmonic maps are different. In this paper, we derive the first and second variations of the exponential energy of a smooth map between Finsler manifolds. We show that a non-constant exponentially… read more here.
Keywords: exponentially harmonic; finsler manifolds; harmonic maps; maps finsler ... See more keywords
Exponentially harmonic maps between surfaces
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DOI: 10.1007/s13324-018-0270-4
Abstract: We show the maximum principle for exponential energy minimizing maps. We then estimate the distance of two image points of an exponentially harmonic map between surfaces. We also study the existence of an exponentially harmonic… read more here.
Keywords: exponentially harmonic; harmonic maps; maps surfaces; harmonic map ... See more keywords