Standard pseudo-Hermitian structure on manifolds and seifert fibration

1994 ◽  
Vol 12 (1) ◽  
pp. 261-289 ◽  
Author(s):  
Yoshinobu Kamishima
Keyword(s):  
Hermitian Structure

scholarly journals Almost Hermitian structure on $S^6$

1955 ◽  
Vol 7 (3) ◽  
pp. 151-156 ◽  
Author(s):  
Tetsuzo Fukami ◽  
Shigeru Ishihara
Keyword(s):  
Hermitian Structure ◽  
Almost Hermitian Structure

HARMONIC MORPHISMS AND HERMITIAN STRUCTURES ON EINSTEIN 4-MANIFOLDS

1992 ◽  
Vol 03 (03) ◽  
pp. 415-439 ◽  
Author(s):  
JOHN C. WOOD
Keyword(s):  
Riemann Surface ◽  
Critical Points ◽  
Minimal Surfaces ◽  
Hermitian Structure ◽  
Harmonic Morphisms ◽  
Harmonic Morphism ◽  
Degeneracy Condition ◽  
Hermitian Structures

We show that a submersive harmonic morphism from an orientable Einstein 4-manifold M4 to a Riemann surface, or a conformal foliation of M4 by minimal surfaces, determines an (integrable) Hermitian structure with respect to which it is holomorphic. Conversely, any nowhere-Kähler Hermitian structure of an orientable anti-self-dual Einstein 4-manifold arises locally in this way. In the case M4=ℝ4 we show that a Hermitian structure, viewed as a map into S2, is a harmonic morphism; in this case and for S4, [Formula: see text] we determine all (submersive) harmonic morphisms to surfaces locally, and, assuming a non-degeneracy condition on the critical points, globally.

Hermitian structure for linear internal waves in sheared flow

2001 ◽  
Vol 279 (1-2) ◽  
pp. 67-69 ◽  
Author(s):  
Krister Wiklund ◽  
Allan N. Kaufman
Keyword(s):  
Internal Waves ◽  
Hermitian Structure ◽  
Sheared Flow

Generalized Maps

2020 ◽  
pp. 157-170
Author(s):  
Daniel Canarutto
Keyword(s):  
Hilbert Space ◽  
Fourier Transforms ◽  
Tensor Products ◽  
Hermitian Structure ◽  
Quantum Geometry ◽  
Basic Notion ◽  
Rigged Hilbert Space ◽  
Fundamental Properties ◽  
Special Cases ◽  
Generalized Maps

Spaces of generalised sections (also called section-distributions) are introduced, and their fundamental properties are described. Several special cases are considered, with particular attention to the case of semi-densities; when a Hermitian structure on the underlying classical bundle is given, these determine a rigged Hilbert space, which can be regarded as a basic notion in quantum geometry. The essentials of tensor products in distributional spaces, kernels and Fourier transforms are exposed.

A new Hamiltonian formulation for fluids and plasmas. Part 3. Multifluid electrodynamics

1996 ◽  
Vol 55 (2) ◽  
pp. 279-300 ◽  
Author(s):  
Jonas Larsson
Keyword(s):  
Nonlinear Theory ◽  
Hamiltonian Structure ◽  
Hamiltonian Formulation ◽  
Wave Interaction ◽  
Hermitian Structure ◽  
Coupling Coefficients ◽  
Symmetric Form ◽  
Hamiltonian Perturbation

The Hamiltonian structure underlying ideal multifluid electrodynamics is formulated in a way that simplifies Hamiltonian perturbation calculations. We consider linear and lowest-order nonlinear theory, and the results in Part 1 of this series of papers are generalized in a satisfactory way. Thus the Hermitian structure of linearized dynamics is derived, and we obtain the coupling coefficients for resonant three-wave interaction in symmetric form, giving the Manley–Rowe relations.

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