Results 141 to 150 of about 304,775 (175)

Slant Submanifolds of Almost Contact Metric 3-Structure Manifolds

Mediterranean Journal of Mathematics, 2012
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Malek, Fereshteh, Kazemi Balgeshir, Mohammad Bagher   +1 more
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CLASSIFICATION OF ALMOST CONTACT METRIC STRUCTURES ON 3D LIE GROUPS

Journal of Mathematical Sciences, 2023
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Contactly geodesic transformations of almost-contact metric structures

Mathematical Notes, 2006
We introduce the notion of contactly geodesic transformation of the metric of an almost-contact metric structure as a contact analog of holomorphically geodesic transformations of the metric of an almost-Hermitian structure. A series of invariants of such transformations is obtained. We prove that such transformations preserve the normality property of
V. F. Kirichenko, N. N. Dondukova
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Canonical Foliations of Certain Classes of Almost Contact Metric Structures

Acta Mathematica Sinica, English Series, 2005
Let \((\varphi,\xi, \eta, g)\) be an almost contact metric structure on a \((2n+1)\)-dimensional manifold \(M\) and denote by \(\phi\) the corresponding Kähler 2-form \(\phi\). The manifold \(M\) equipped with this structure is said to be \(\alpha\)-cosymplectic, \(\alpha\) being a real number, if \(d \eta = 0, d \phi = 2 \alpha \eta \wedge \phi ...
Kim, Tae Wan, Pak, Hong Kyung
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Invariants of conformal transformations of almost contact metric structures

Mathematical Notes, 2008
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Kirichenko, V. F., Uskorev, I. V.
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From Ricci Soliton to Almost Contact Metric Structures

International Electronic Journal of Geometry
In this paper, we construct almost contact metric structures on a three-dimensional Riemannian manifold equipped with an almost Ricci soliton. Then, we give the techniques necessary to define the nature of such structures. Concrete examples are given.
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Almost Hermitian Structures From Almost Contact Metric Manifolds and Their Curvature Properties

2023
In this manuscript, we consider almost Hermitian manifolds and almost contact metric manifolds. We construct almost Hermitian manifolds from the product of almost contact metric manifolds with R by warped product. Depending on the function of warped product, we investigate the curvature properties of the almost Hermitian manifolds obtained in this way.
Özdemir, Nilüfer, Aktay, Şirin, Solgun, Mehmet   +2 more
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Foliations and Complemented Framed Structures on an Almost Contact Metric Manifold

Mediterranean Journal of Mathematics, 2010
The author studies a Riemannian manifold equipped with a generalized quasi-Sasakian (GQS) structure, a structure generalizing the notions of Sasakian, quasi-Sasakian, Kenmotsu, cosymplectic (and other well known) structures. He provides conditions under which a natural foliation and a bundle-like metric on a GQS manifold arise.
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On deformations of parallelG₂structures and almost contact metric structures

Advances in Geometry, 2017
AbstractIt is known that manifolds withG2structures have almost contact metric structures; see [3; 16]. In this manuscript, we deform a parallelG2structure by a parallel vector field and investigate the properties of the almost contact metric structure obtained by the deformation of theG2structure.
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Contact-Projective Transformations of Almost Contact Metric Structure

Journal of Mathematical Sciences, 2023
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