Results 1 to 10 of about 677 (61)
Unique continuation theorems for biharmonic maps. [PDF]
Abstract We prove several unique continuation results for biharmonic maps between Riemannian manifolds.
Branding V, Oniciuc C.
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Minimal surfaces with non-trivial geometry in the three-dimensional Heisenberg group
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
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
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A closed form for unitons [PDF]
. 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
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Some recent progress of biharmonic submanifolds [PDF]
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
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An elastic graph is a graph with an elasticity associated to each edge. It may be viewed as a network made out of ideal rubber bands. If the rubber bands are stretched on a target space there is an elastic energy. We characterize when a homotopy class of
DYLAN P. THURSTON
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F-biharmonic maps into general Riemannian manifolds
Let ψ:(M, g) → (N, h) be a map between Riemannian manifolds (M, g) and (N, h).
Mi Rong
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A Harmonic Endomorphism in a Semi-Riemannian Context
On the total space of the cotangent bundle T ∗M of a Riemannian manifold (M,h) we consider the natural Riemann extension ḡ with respect to the Levi-Civita connection of h.
C. Bejan, Şemsi Eken
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Minimizing energy among homotopic maps
We study an energy minimizing sequence {ui} in a fixed homotopy class of smooth maps from a 3‐manifold. After deriving an approximate monotonicity property for {ui} and a continuous version of the Luckhaus lemma (Simon, 1996) on S2, we show that, passing to a subsequence, {ui} converges strongly in W1,2 topology wherever there is small energy ...
Pengzi Miao
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Harmonic maps and singularities of period mappings
We use simple methods from harmonic maps to investigate singularities of period mappings at infinity. More precisely, we derive a harmonic map version of Schmid’s nilpotent orbit theorem.
J. Jost, Yihu Yang, K. Zuo
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