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Contactly geodesic transformations of almost-contact metric structures
Mathematical Notes, 2006We 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, Kirichenko V F
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Contact-Projective Transformations of Almost Contact Metric Structure
Journal of Mathematical Sciences, 2023exaly +2 more sources
Almost Contact Metric Structures on the Hypersurface of Almost Hermitian Manifolds
Journal of Mathematical Sciences, 2015This 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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Almost contact metric submersions and structure equations
Publicationes Mathematicae Debrecen, 2022This paper is a continuation of two papers of the author [Rend. Circ. Mat. Palermo, II. Ser. 33, 319-330 (1984; Zbl 0559.53021), and ibid. 34, 89-104 (1985; Zbl 0572.53033)]. For two almost contact metric manifolds M and M' the differential geometric properties of almost contact submersions are studied.
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New classes of almost contact metric structures
Publicationes Mathematicae Debrecen, 2022Let M be an almost contact metric manifold with structure tensors (\(\phi\),\(\xi\),\(\eta\),g). As is well known an almost contact structure (\(\phi\),\(\xi\),\(\eta)\) is said to be normal if the almost complex structure J on \(M\times {\mathbb{R}}\) defined by \[ J[X,a\frac{d}{dt}]=[\phi X-a\xi,\eta (X)\frac{d}{dt}] \] where a is a \(C^{\infty ...
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Local almost contact metric 3-structures
Publicationes Mathematicae Debrecen, 2000The authors study a natural odd-dimensional analogue of quaternion-Kähler structures. They show that such manifolds are Einstein with positive scalar curvature and if complete are compact with finite fundamental group; with some regularity assumption they fiber with 3-dimensional spherical space forms over Einstein orbifolds with positive scalar ...
Matzeu, Paola, Ornea, Liviu
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Canonical Foliations of Certain Classes of Almost Contact Metric Structures
Acta Mathematica Sinica, English Series, 2005Let \((\varphi,\xi, \eta, g)\) 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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A Note on a Homogeneous Structure on an Almost Contact Metric Space
AIP Conference Proceedings, 2011Ambrose and Singer characterized the homogeneity of a Riemannian manifold by the existence of a tensor field T of type (1,2). We consider the homogeneity of odd dimensional Rimemannian manifolds, in particular, that of an almost contact metric space.
Takashi Koda +4 more
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Invariants of conformal transformations of almost contact metric structures
Mathematical Notes, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kirichenko, V. F., Uskorev, I. V.
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From Ricci Soliton to Almost Contact Metric Structures
International Electronic Journal of GeometryIn 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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