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Harmonic Maps on Kenmotsu Manifolds

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2013
We study in this paper harmonic maps and harmonic morphisms on Kenmotsu manifolds. We also give some results on the spectral theory of a harmonic map for which the target manifold is a Kenmotsu manifold.
Rehman Najma Abdul
doaj   +1 more source

Biharmonic maps on V-manifolds

International Journal of Mathematics and Mathematical Sciences, 2001
We generalize biharmonic maps between Riemannian manifolds into the case of the domain being V-manifolds. We obtain the first and second variations of biharmonic maps on V-manifolds.
Yuan-Jen Chiang, Hongan Sun
doaj   +1 more source

General f-harmonic morphisms

Arab Journal of Mathematical Sciences, 2016
In this paper, we prove that a map between Riemannian manifolds is an f-harmonic morphism in a general sense if and only if it is horizontally weakly conformal, satisfying some conditions, and we investigate the properties of f-harmonic morphism in a ...
Nour Elhouda Djaa, Ahmed Mohamed Cherif
doaj   +1 more source

Affine harmonic maps

Analysis, 2009
We introduce a class of maps from an affine flat into a Riemannian manifold that solve an elliptic system defined by the natural second order elliptic operator of the affine structure and the nonlinear Riemann geometry of the target. These maps are called affine harmonic.
Şimşir, Fatma Muazzez, Jost J.
openaire   +4 more sources

Biharmonic Maps on f-Kenmotsu Manifolds with the Schouten–van Kampen Connection

Mathematics, 2023
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.
Hichem El hendi
doaj   +1 more source

Duality and Some Links Between Riemannian Submersion, F-Harmonicity, and Cohomology

Axioms
Fundamentally, duality gives two different points of view of looking at the same object. It appears in many subjects in mathematics (geometry, algebra, analysis, PDEs, Geometric Measure Theory, etc.) and in physics.
Bang-Yen Chen, Shihshu (Walter) Wei
doaj   +1 more source

Some Remarks on Pohozaev-Type Identities

Bruno Pini Mathematical Analysis Seminar, 2018
In this note we present some Pohozaev-type identities that have been recently established in a joint work with Paul Laurain and Tristan Rivière in the framework of half-harmonic maps defined either on the real line or on the unit circle with values into ...
Francesca Da Lio
doaj   +1 more source

Fractional div-curl quantities and applications to nonlocal geometric equations

, 2017
We investigate a fractional notion of gradient and divergence operator. We generalize the div-curl estimate by Coifman-Lions-Meyer-Semmes to fractional div-curl quantities, obtaining, in particular, a nonlocal version of Wente's lemma.
Adams, Alali, Armin Schikorra, Bethuel, Blatt, Bojarski, Brasco, Brezis, Briane, Coifman, Conti, Da Lio, Da Lio, Da Lio, Da Lio, Di Castro, Freire, Fuchs, Grafakos, Grafakos, Hajłasz, Hinz, Hélein, Hélein, Hélein, Katarzyna Mazowiecka, Kuusi, Lenzmann, Millot, Murat, Murat, Pigati, Rivière, Rivière, Runst, Scheven, Schikorra, Schikorra, Schikorra, Schikorra, Schikorra, Semmes, Shatah, Simon, Stein, Strzelecki, Takeuchi, Tartar, Tartar, Tartar, Tartar, Tartar, Toro, Triebel, Uhlenbeck, Wente   +55 more
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Harmonic maps into a cone

Archiv der Mathematik, 1983
Archiv Der ...
Baikoussis, C., Koufogiorgos, T.
openaire   +3 more sources

Sequences of harmonic maps in the 3-sphere

, 2014
We define two transforms between non-conformal harmonic maps from a surface into the 3-sphere. With these transforms one can construct, from one such harmonic map, a sequence of harmonic maps.
Dioos, Bart, Van der Veken, Joeri, Vrancken, Luc   +2 more
core   +2 more sources