Results 1 to 10 of about 1,216 (83)
Unique continuation theorems for biharmonic maps. [PDF]
Bull Lond Math Soc, 2019 Abstract We prove several unique continuation results for biharmonic maps between Riemannian manifolds.
Branding V, Oniciuc C.
europepmc +2 more sources
Bernstein Theorems for Space-like Graphs with Parallel Mean Curvature and Controlled Growth [PDF]
, 2007 In this paper, we obtain an Ecker-Huisken type result for entire graphs with parallel mean curvature.
ALias +17 more
arxiv +4 more sources
Area contraction for harmonic automorphisms of the disk [PDF]
Bull. London Math. Soc. 43 (2011), no. 1, 91-96, 2009 A harmonic self-homeomorphism of a disk does not increase the area of any concentric disk.
Koh, Ngin-Tee, Kovalev, Leonid V.
arxiv +5 more sources
On some curves in three-dimensional $$\beta $$ β -Kenmotsu manifolds
Arabian Journal of Mathematics, 2022 This paper is devoted to examine necessary and sufficient conditions for a Frenet curve to be f-harmonic, f-biharmonic, bi-f-harmonic and f-biminimal in three-dimensional $$\beta $$ β -Kenmotsu manifolds. In addition, such conditions are investigated for
Şerife Nur Bozdağ +2 more
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Minimal surfaces with non-trivial geometry in the three-dimensional Heisenberg group
Complex Manifolds, 2022 We study symmetric minimal surfaces in the three-dimensional Heisenberg group Nil3 using the generalized Weierstrass type representation, the so-called loop group method.
Dorfmeister Josef F. +2 more
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A study on magnetic curves in trans-Sasakian manifolds
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023 In this paper, we focused on biharmonic, f-harmonic and f-biharmonic magnetic curves in trans-Sasakian manifolds. Moreover, we obtain necessary and su cient conditions for magnetic curves as well as Legendre magnetic curves to be biharmonic, f-harmonic ...
Bozdağ Şerife Nur
doaj +1 more source
A closed form for unitons [PDF]
, 1995 . Unitons, i.e. harmonic spheres in a unitary group, correspond to ‘unitonbundles’, i.e. holomorphic bundles over the compactified tangent space to the complexline with certain triviality and other properties.
Christopher Kumar Anand
semanticscholar +1 more source
The Explicit Construction of Einstein Finsler Metrics with Non-Constant Flag Curvature [PDF]
, 2009 By using the Hawking Taub-NUT metric, this note gives an explicit construction of a 3-parameter family of Einstein Finsler metrics of non-constant flag curvature in terms of navigation ...
Guo, Enli +2 more
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Some recent progress of biharmonic submanifolds [PDF]
, 2015 In this note, we give a brief survey on some recent developments of biharmonic submanifolds. After reviewing some recent progress on Chen’s biharmonic conjecture, the Generalized Chen’s conjecture on biharmonic submanifolds of non-positively curved ...
Ye-lin Ou
semanticscholar +1 more source
COEFFICIENT CONDITIONS FOR HARMONIC CLOSE-TO-CONVEX FUNCTIONS [PDF]
, 2012 New sufficient conditions, concerned with the coefficients of harmonic functions $f(z)=h(z)+\bar{g(z)}$ in the open unit disk $\mathbb{U}$ normalized by $f(0)=h(0)=h'(0)-1=0$, for $f(z)$ to be harmonic close-to-convex functions are discussed. Furthermore,
HAYAMI, TOSHIO
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