Some Remarks on Bi-f-Harmonic Maps and f-Biharmonic Maps
Sign Up to like & getrecommendations! Published in 2019 at "Results in Mathematics"
DOI: 10.1007/s00025-019-1023-x
Abstract: In this paper, we prove that the class of bi-f-harmonic maps and that of f-biharmonic maps from a conformal manifold of dimension $$\ge 3$$≥3 are the same (Theorem 1.1). We also give several results on… read more here.
Keywords: harmonic maps; biharmonic maps; maps biharmonic; remarks harmonic ... See more keywords
Weakly biharmonic maps from the ball to the sphere
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DOI: 10.1007/s10711-019-00470-0
Abstract: The aim of this paper is to investigate the existence of proper, weakly biharmonic maps within a family of rotationally symmetric maps $$u_a : B^n \rightarrow {\mathbb {S}}^n$$ u a : B n → S… read more here.
Keywords: weakly biharmonic; maps ball; ball sphere; biharmonic maps ... See more keywords
An integral formula for a class of biharmonic maps from Euclidean 3-space
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DOI: 10.1016/j.difgeo.2018.07.001
Abstract: Abstract We classify biharmonic semi-conformal maps from domains of Euclidean 3-space whose fibres are arcs of circles in terms of holomorphic data. The geometry behind this classification enables us to give an integral formula which… read more here.
Keywords: biharmonic maps; geometry; integral formula; euclidean space ... See more keywords
Corrigendum to “Some constructions of biharmonic maps and Chen’s conjecture on biharmonic hypersurfaces” [J. Geom. Phys. 62 (2012) 751–762]
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Geometry and Physics"
DOI: 10.1016/j.geomphys.2018.08.016
Abstract: Abstract We give a correction to a mistake in Proposition 2.1 in the title mentioned paper, examine and correct or point out the consequences that are affected by the mistake. read more here.
Keywords: biharmonic maps; constructions biharmonic; chen conjecture; corrigendum constructions ... See more keywords
Biharmonic Maps on f-Kenmotsu Manifolds with the Schouten–van Kampen Connection
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DOI: 10.3390/math11081905
Abstract: The object of the present paper was to study biharmonic maps on f-Kenmotsu manifolds and f-Kenmotsu manifolds with the Schouten–van Kampen connection. With the help of this connection, our results provided important insights related to… read more here.
Keywords: manifolds schouten; schouten van; biharmonic maps; kenmotsu manifolds ... See more keywords