Results 11 to 20 of about 63 (61)

A study of the inextensible flows of tube-like surfaces associated with focal curves in Galilean 3-space G₃ [PDF]

, 2017
In this paper, we study inextensible flows of focal curves associated with tube-like surfaces in Galilean 3-space G₃. We give some characterizations for curvature and torsion of focal curves associated with tube-like surfaces in Galilean 3-space G₃ ...
SOROUR, Adel H.
core   +2 more sources

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

Biharmonic maps on V‐manifolds

International Journal of Mathematics and Mathematical Sciences, Volume 27, Issue 8, Page 477-484, 2001., 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. Since a biharmonic map from a compact V‐manifold into a Riemannian manifold of nonpositive curvature is harmonic, we construct a biharmonic non‐harmonic map into a sphere.
Yuan-Jen Chiang, Hongan Sun
wiley   +1 more source

Existence of multiple critical points for an asymptotically quadratic functional with applications

Abstract and Applied Analysis, Volume 1, Issue 3, Page 277-289, 1996., 1996
Morse theory for isolated critical points at infinity is used for the existence of multiple critical points for an asymptotically quadratic functional. Applications are also given for the existence of multiple nontrivial periodic solutions of asymptotically Hamiltonian systems.
Shujie Li, Jiabao Su
wiley   +1 more source

III-harmonic Curves in SL2ℝ˜\widetilde {{\rm{S}}{{\rm{L}}_2}\mathbb{R}} Space

Annals of the West University of Timisoara: Mathematics and Computer Science
Some work has been done in the study of non-geodesic III-harmonic curves in some model spaces. In this paper, we study III-harmonic curves in SL2ℝ˜\widetilde {{\rm{S}}{{\rm{L}}_2}\mathbb{R}} space. We give necessary and su cient conditions for helices to
Senoussi Bendehiba
doaj   +1 more source

Почти ермитови структури, туисторни пространства и хармонични изображения

, 2022
[Davidov Johann; Давидов Йохан]In the first part of the paper, we review the notion of an almost-complex structure and some topological obstructions for existence of such a structure.
Davidov, Johann
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Harmonic Morphisms Between Almost Hermitian Manifolds

, 1997
this paper we study this connection for more general almost Hermitian manifolds. We obtain conditions involving the Lee form under which holomorphic maps between almost Hermitian manifolds are harmonic maps or morphisms. We show that the image of certain
John, Sigmundur Gudmundsson, John C. Wood   +2 more
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© Hindawi Publishing Corp. HARMONICITY OF HORIZONTALLY CONFORMAL MAPS AND SPECTRUM OF THE LAPLACIAN

, 2001
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.
Gabjin Yun
core