Results 141 to 150 of about 1,270 (170)

Some Critical Almost Hermitian Structures

Results in Mathematics, 2011
Let \(M\) be a compact manifold of even dimension and \(\mathcal{AH}(M)\) the Frechet space of all almost Hermitian structures on \(M\). For a real number \(c>0\), let \(\mathcal{AH}_c(M)\) be the subset of such structures with volume \(c\). For \((\lambda , \mu )\in \mathbb R^2\setminus \{(0, 0)\}\) the functional \(\mathcal{F}_{\lambda , \mu }(J, g)=\
Jeonghyeong Park, Kouei Sekigawa
exaly   +3 more sources

Examples of Affine-Metric Structures on an Almost Hermitian Manifold

Journal of Mathematical Sciences, 2023
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Ignatochkina, L. A., Gorginyan, Yu. A.
openaire   +1 more source

Almost Contact Metric Structures on the Hypersurface of Almost Hermitian Manifolds

Journal of Mathematical Sciences, 2015
This is a review paper on the theories of almost contact, almost Hermitian and Kenmotsu structures and their use in classical differential geometry. The authors give a very comprehensive account on the historical development of these structures using only Riemannian metrics, although modern applicable studies on these structures have been extended ...
Banaru, M. B., Kirichenko, V. F.
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On Real Almost Hermitian Structures Subordinate to Almost Tangent Structures

Canadian Mathematical Bulletin, 1968
Some of the most important G-structures of the first kind (1) are those defined by linear operators satisfying algebraic relations. Let J be a linear operator acting on the complexified space of a differentiable manifold V, and satisfying a relation of the formwhere λ is a complex constant and I is the identity operator.
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CURVATURE AND INTEGRABILITY OF AN ALMOST HERMITIAN STRUCTURE

International Journal of Mathematics, 2006
By using moving frame theory, we obtain some necessary conditions involving curvatures for integrability of an almost Hermitian structure. As consequences, they are applied to S6.
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Geometric Structures in Four-dimension and Almost Hermitian Structures

AIP Conference Proceedings, 2011
It is known [25], [26] (cf. also, [5]) that among nineteen four‐dimensional geometries (in the sense of Thurston [23]), there are fourteen geometries which admit complex structure compatible with a group of isometries. We focus our attention to the five geometries which do not admit such a complex structure, and analyze if these geometries can admit or
Yasuo Matsushita, Kouei Sekigawa, Vladimir S. Gerdjikov, Yasuo Matsushita, Ivaïlo M. Mladenov   +4 more
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Curvature vs. Almost Hermitian Structures

Geometriae Dedicata, 2000
The author derives a Bochner-type formula for almost Hermitian manifolds. Its general form is the following \(\int_M q(\nabla \omega)=\int_M {\mathcal R}_J\), where \(q\) is some quadratic form, \(\omega \) is the fundamental or Kähler 2-form and \({\mathcal R}_J\) is some curvature term that may depend on an almost Hermitian structure \(J\). From this
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Almost Hermitian structures on the tangent bundle of almost symplectic manifold

Russian Mathematics, 2007
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Panzhenskii, V. I., Sukhova, O. V.
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Examples of Deformations of Almost Hermitian Structures

1989
The possibilities of developing some deformation theory of almost Hermitian structures and its interconnection with almost holomorphic isometries are examined. Some examples of deformations on the manifold of Thurston-Abbena are given.
Stancho Dimiev, Kalin Petrov
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Holomorphically projective transformations of almost-Hermitian structures

Russian Mathematical Surveys, 2001
A Kähler manifold does not admit a non-trivial projective transformation of the metric that preserves the complex structure. Hence the complex analogue of projective transformations, the so-called holomorphically projective transformations of Kähler structures is an interesting problem for many researchers.
Kirichenko, V. F., Nikiforova, A. V.
openaire   +2 more sources