Exponentially harmonic maps between surfaces
Sign Up to like & getrecommendations! Published in 2018 at "Analysis and Mathematical Physics"
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
Wecken property for coincidences of boundary-preserving maps between surfaces
Sign Up to like & getrecommendations! Published in 2021 at "Topology and its Applications"
DOI: 10.1016/j.topol.2020.107556
Abstract: Abstract We study the Wecken property for coincidences in the setting of boundary-preserving maps between surfaces with nonempty boundary. We consider the situation where the domain surface has non-negative Euler characteristic and obtain boundary Wecken… read more here.
Keywords: boundary preserving; property coincidences; maps surfaces; preserving maps ... See more keywords
The index of harmonic maps from surfaces to complex projective spaces
Sign Up to like & getrecommendations! Published in 2020 at "International Journal of Mathematics"
DOI: 10.1142/s0129167x2050069x
Abstract: We estimate the dimensions of the spaces of holomorphic sections of certain line bundles to give improved lower bounds on the index of complex isotropic harmonic maps to complex projective space from the sphere and… read more here.
Keywords: harmonic maps; maps surfaces; surfaces complex; complex projective ... See more keywords