Almost Riemann Solitons with Vertical Potential on Conformal Cosymplectic Contact Complex Riemannian Manifolds [PDF]
Symmetry, 2022 Almost-Riemann solitons are introduced and studied on an almost contact complex Riemannian manifold, i.e., an almost-contact B-metric manifold, which is obtained from a cosymplectic manifold of the considered type by means of a contact conformal transformation of the Reeb vector field, its dual contact 1-form, the B-metric, and its associated B-metric.
Manev, Mancho, Mancho Manev
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Transversal Jacobi Operators in Almost Contact Manifolds [PDF]
Mathematics, 2020 Along a transversal geodesic γ whose tangent belongs to the contact distribution D, we define the transversal Jacobi operator Rγ=R(·,γ˙)γ˙ on an almost contact Riemannian manifold M.
Jong Taek Cho, Makoto Kimura
doaj +2 more sources
On canonical-type connections on almost contact complex Riemannian manifolds [PDF]
Filomat, 2015 We consider a pair of smooth manifolds, which are the counterparts in the even-dimensional and odd-dimensional cases. They are separately an almost complex manifold with Norden metric and an almost contact manifolds with B-metric, respectively. They can be combined as the so-called almost contact complex Riemannian manifold. This paper is a
Mancho Maneva
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A complex network perspective on brain disease. [PDF]
Biol Rev Camb Philos SocABSTRACT If brain anatomy and dynamics have a complex network structure as it has become standard to posit, it is reasonable to assume that such a structure should play a key role not only in brain function but also in brain dysfunction. However, exactly how network structure is implicated in brain damage and whether at least some pathologies can be ...
Papo D, Buldú JM.
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Harmonicity of normal almost contact metric structures [PDF]
, 2023 14 pagesWe consider normal almost contact structures on a Riemannian manifold and, through their associated sections of an ad-hoc twistor bundle, study their harmonicity, as sections or as maps.
Loubeau, E. +3 more
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Harmonic flow of geometric structures [PDF]
, 2022 We give a twistorial interpretation of geometric structures on a Riemannian manifold, as sections of homogeneous fibre bundles, following an original insight by Wood (2003).
Sá Earp, Henrique +4 more
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On the harmonicity of normal almost contact metric structures [PDF]
, 2023 We consider normal almost contact structures on a Riemannian manifold and, through their associated sections of an ad-hoc twistor bundle, study their harmonicity, as sections or as maps.
Loubeau, E., Vergara-Diaz, E.
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Curvature tensors and Ricci solitons with respect to Zamkovoy connection in anti-invariant submanifolds of trans-Sasakian manifold [PDF]
, 2022 summary:The present paper deals with the study of some properties of anti-invariant submanifolds of trans-Sasakian manifold with respect to a new non-metric affine connection called Zamkovoy connection. The nature of Ricci flat, concircularly flat, $\xi $
Karmakar, Payel
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Almost Contact B-metric Manifoldsas Extensions of a 2-dimensional Space-form [PDF]
, 2016 summary:The object of investigations are almost contact B-metric manifolds which are derived as a product of a real line and a 2-dimensional manifold equipped with a complex structure and a Norden metric.
Manev, Hristo M.
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Semi-slant Riemannian maps into almost Hermitian manifolds [PDF]
, 2014 summary:We introduce semi-slant Riemannian maps from Riemannian manifolds to almost Hermitian manifolds as a generalization of semi-slant immersions, invariant Riemannian maps, anti-invariant Riemannian maps and slant Riemannian maps.
Park, Kwang-Soon, Şahin, Bayram
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