Results 1 to 10 of about 606 (39)
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
core +5 more sources
Area contraction for harmonic automorphisms of the disk [PDF]
, 2009 A harmonic self-homeomorphism of a disk does not increase the area of any concentric disk.Comment: 7 ...
Koh, Ngin-Tee, Kovalev, Leonid V.
core +3 more sources
Holomorphic harmonic morphisms from cosymplectic almost Hermitian manifolds [PDF]
, 2014 We study 4-dimensional Riemannian manifolds equipped with a minimal and conformal foliation $\mathcal F$ of codimension 2. We prove that the two adapted almost Hermitian structures $J_1$ and $J_2$ are both cosymplectic if and only if $\mathcal F$ is ...
Gudmundsson, Sigmundur
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Rotationally symmetric harmonic diffeomorphisms between surfaces [PDF]
, 2013 In this paper, we show that the nonexistence of rotationally symmetric harmonic diffeomorphism between the unit disk without the origin and a punctured disc with hyperbolic metric on the target.Comment: Minor typos ...
Chen, Li, Du, Shi-Zhong, Fan, Xu-Qian
core +3 more sources
Unique continuation theorems for biharmonic maps
Bulletin of the London Mathematical Society, Volume 51, Issue 4, Page 603-621, August 2019., 2019 Abstract We prove several unique continuation results for biharmonic maps between Riemannian manifolds.
Volker Branding, Cezar Oniciuc
wiley +1 more source
Minimizing energy among homotopic maps
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 30, Page 1599-1611, 2004., 2004 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
wiley +1 more source
Local solvability of a constrainedgradient system of total variation
Abstract and Applied Analysis, Volume 2004, Issue 8, Page 651-682, 2004., 2004 A 1‐harmonic map flow equation, a gradient system of total variation where values of unknowns are constrained in a compact manifold in ℝN, is formulated by the use of subdifferentials of a singular energy—the total variation. An abstract convergence result is established to show that solutions of approximate problem converge to a solution of the limit ...
Yoshikazu Giga +2 more
wiley +1 more source
Families of (1, 2)‐symplectic metrics on full flag manifolds
International Journal of Mathematics and Mathematical Sciences, Volume 29, Issue 11, Page 651-664, 2002., 2002 We obtain new families of (1, 2)‐symplectic invariant metrics on the full complex flag manifolds F(n). For n ≥ 5, we characterize n − 3 different n‐dimensional families of (1, 2)‐symplectic invariant metrics on F(n). Each of these families corresponds to a different class of nonintegrable invariant almost complex structures on F(n).
Marlio Paredes
wiley +1 more source
Harmonicity of horizontally conformal maps and spectrum of the Laplacian
International Journal of Mathematics and Mathematical Sciences, Volume 30, Issue 12, Page 709-715, 2002., 2002 We discuss the harmonicity of horizontally conformal maps and their relations with the spectrum of the Laplacian. We prove that if Φ : M → N is a horizontally conformal map such that the tension field is divergence free, then Φ is harmonic. Furthermore, if N is noncompact, then Φ must be constant.
Gabjin Yun
wiley +1 more source
Harmonic close‐to‐convex mappings
International Journal of Stochastic Analysis, Volume 15, Issue 1, Page 23-28, 2002., 2002 Sufficient coefficient conditions for complex functions to be close‐to‐convex harmonic or convex harmonic are given. Construction of close‐to‐convex harmonic functions is also studied by looking at transforms of convex analytic functions. Finally, a convolution property for harmonic functions is discussed.
Jay M. Jahangiri, Herb Silverman
wiley +1 more source