Soliton on Sasakian manifold endowed with quarter-symmetric non-metric connection on the tangent bundle [PDF]
PurposeThe purpose of this paper is to study the properties of the solitons on Sasakian manifold on the tangent bundle with respect to quarter symmetric non metric connection.Design/methodology/approachWe used the vertical and complete lifts, Ricci ...
Lalnunenga Colney, Rajesh Kumar
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Induced connections of two types on a surface of an affine space
In the affine space the fundamental-group connection in the bundle associated with a surface as a manifold of tangent planes is investigated. The principal bundle contains a quotient bundle of tangent frames, the typical fiber of which is a linear group ...
A. Shults
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TANGENT BUNDLE ENDOWED WITH QUARTER-SYMMETRIC NON-METRIC CONNECTION ON AN ALMOST HERMITIAN MANIFOLD
In this paper, we have studied the tangent bundle endowed with quarter-symmetric non-metric connection obtained by vertical and complete lifts of a quarter-symmetric non-metric connection on the base manifold and, also, proposed the study of the tangent ...
Mohammad Nazrul Islam Khan
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A Note on Tangent Bundles [PDF]
The tangent bundle of a differentiable manifold is an important invariant of a differentiable structure. It is determined neither by the topological structure nor by the homotopy type of a manifold. But in some cases tangent bundles depend only on the homotopy types of manifolds.
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Poisson structures on tangent bundles
The paper starts with an interpretation of the complete lift of a Poisson structure from a manifold M to its tangent bundle TM by means of the Schouten- Nijenhuis bracket of covariant symmetric tensor fields defined by the co- tangent Lie algebroid of M.
Mitric, Gabriel, Vaisman, Izu
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Equivalence of two different notions of tangent bundle on rectifiable metric measure spaces [PDF]
We prove that for a suitable class of metric measure spaces, the abstract notion of tangent module as defined by the first author can be isometrically identified with the space of $L^2$-sections of the `Gromov-Hausdorff tangent bundle'.
N. Gigli, Enrico Pasqualetto
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R-Symmetries and Curvature Constraints in A-Twisted Heterotic Landau–Ginzburg Models
In this paper, we discuss various aspects of a class of A-twisted heterotic Landau–Ginzburg models on a Kähler variety X. We provide a classification of the R-symmetries in these models which allow the A-twist to be implemented, focusing on the case in ...
Richard S. Garavuso
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Statistical structures on the tangent bundle of a statistical manifold with Sasaki metric
The first part of the paper is devoted to the classification of the statistical structures which live on the tangent bundle of a statistical manifold endowed with a Sasaki metric. Further, considering a Kahler structure on the base statistical manifold,
V. Balan, E. Peyghan, E. Sharahi
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Lifts of a Semi-Symmetric Metric Connection from Sasakian Statistical Manifolds to Tangent Bundle
The lifts of Sasakian statistical manifolds associated with a semi-symmetric metric connection in the tangent bundle are characterized in the current research.
Rajesh Kumar +4 more
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$H$-Contact Unit Tangent Sphere Bundles
Let \((M,g)\) be a Riemannian manifold. Its unit tangent bundle \(T_1 M\) has a natural contact metric structure \((\xi,\eta,\Phi,\bar{g})\). Following a previous paper of the author [Differ. Geom. Appl. 20, No. 3, 367-378 (2004; Zbl 1061.53028)] we say that a metric contact structure is \(H\)-contact if the Reeb vector field \(\xi\) is harmonic ...
CALVARUSO, Giovanni, PERRONE, Domenico
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