Taut contact circles and bi-contact metric structures on three-manifolds
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DOI: 10.1007/s10455-017-9555-3
Abstract: Geiges and Gonzalo (Invent. Math. 121:147–209 1995, J. Differ. Geom. 46:236–286 1997, Acta. Math. Vietnam 38:145–164 2013) introduced and studied the notion of taut contact circle on a three-manifold. In this paper, we introduce a… read more here.
Keywords: three manifolds; taut contact; contact metric; structure ... See more keywords
Yamabe solitons on 3-dimensional contact metric manifolds with Qφ = φQ
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DOI: 10.1142/s0219887819500397
Abstract: If [Formula: see text] is a 3-dimensional contact metric manifold such that [Formula: see text] which admits a Yamabe soliton [Formula: see text] with the flow vector field [Formula: see text] pointwise collinear with the… read more here.
Keywords: contact metric; see text; dimensional contact; formula see ... See more keywords
On deformations of parallel G2 structures and almost contact metric structures
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DOI: 10.1515/advgeom-2017-0016
Abstract: Abstract It is known that manifolds with G2 structures have almost contact metric structures; see [3; 16]. In this manuscript, we deform a parallel G2 structure by a parallel vector field and investigate the properties… read more here.
Keywords: metric structures; almost contact; deformations parallel; contact metric ... See more keywords
On C-parallel legendre curves in non-Sasakian contact metric manifolds
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DOI: 10.2298/fil1914481o
Abstract: In (2n+1)-dimensional non-Sasakian contact metric manifolds, we consider Legendre curves whose mean curvature vector fields are C-parallel or C-proper in the tangent or normal bundles. We obtain the curvature characterizations of these curves. Moreover, we… read more here.
Keywords: metric manifolds; sasakian contact; non sasakian; contact metric ... See more keywords
The Contact Metric Connection with Skew Torsion
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DOI: 10.3103/s1066369x19110070
Abstract: We prove that, on a generalized (multidimensional) Heisenberg group endowed with a left-invariant Sasakian structure, there exists a unique contact metric connection with skew torsion, invariant with respect to the group of automorphisms. The explicit… read more here.
Keywords: torsion; connection; metric connection; contact metric ... See more keywords
Certain results on N(k)-contact metric manifolds
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DOI: 10.5556/j.tkjm.49.2018.2506
Abstract: In the present paper we study contact metric manifolds whose characteristic vector field $\xi$ belonging to the $k$-nullity distribution. First we consider concircularly pseudosymmetric $N(k)$-contact metric manifolds of dimension $(2n+1)$. Beside these, we consider Ricci… read more here.
Keywords: metric manifolds; contact metric; certain results; results contact ... See more keywords