smooth manifold
GROUPOID ASSOCIATED TO A SMOOTH MANIFOLD
... Abstract. In this paper, we introduce the structure of a groupoid associated to a vector field on a smooth manifold. We show that in the case of the 1-dimensional manifolds, our groupoid has a smooth ...
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Smooth manifold structure for extreme channels
... (Quotient Manifold Theorem ...a smooth manifold M ...topological manifold of dimension equal to dim(M )−dim(G), and has a unique smooth structure with the property that the quotient map ...
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Graded subalgebras of the Lie algebra of a smooth manifold
... for some m > n so that the resulting point set forms an analytic manifold with no boundary. That this is possible follows from Whitney [1]. Let (M) be the Lie algebra of smooth vector fields on M that ...
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A Bordism Viewpoint of Fiberwise Intersections
... Later we define “framed bordism with coefficient in a bundle” as follows. Let 𝑋 be a smooth manifold with a bundle 𝜉 over it. Define Ω 𝑓𝑟 ∗ (𝑋; 𝜉) to be the bordism groups of manifolds mapping to 𝑋, ...
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Heterogeneous Riemannian Manifolds
... connected smooth manifold M of dimension n ≥ 2 which, for every point p in M, are determined up to isometry by the behavior of curvature under parallel transport along geodesics emanating from p, is ...
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Interpolation and scattered data fitting on manifolds using projected Powell–Sabin splines
... As mentioned in Section 3.4, every compact 2-dimensional smooth manifold Ω admits a triangulation T . Let Ω be embedded into R 3 , and let Φ be the projection atlas for it. For any ε > 0 there is a ...
30
3-Lie superalgebras induced by Lie superalgebras
... a smooth manifold and the author constructed triple Lie bracket of vector fields by means of commutator of vector fields and a differential form, which satisfies conditions similar to ...
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On the asymptotic expansion of certain plane singular integral operators
... compact smooth manifold because one can use the ‘freezing coefficients principle’ or, in other words, a ‘local ...a manifold with a smooth boundary we need a new local formula for defining the ...
13
Connections on Riemannian Geometry and it’s Applications
... a smooth manifold which connects nearby tangent spaces, and so permits tangent vector fields to be differentiated as if they were functions on the manifold with values in a fixed vector ...a ...
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Aspects of pseudolocality in Ricci flow
... single manifold on which our final limit metric will ...our smooth manifold construction theorem (Theorem ...local smooth Cheeger- Gromov convergence; thus we record some key observations ...
120
Determination Thermal Performance of a New Integrated Exhaust Manifold Cylinder Head in Diesel Engine
... intake manifold and exhaust manifold are in integration with the cylinder ...exhaust manifold of the newer version of engine, and therefore to be able to increase the cylinder head low-frequency ...
7
A note on the fibres of Mori fibre spaces
... Any Fano manifold with Picard number ρ = 1 is fibre-like, via the constant map to a point. When ρ ≥ 2 the problem of determining whether a variety is fibre-like or not is highly non-trivial. Mori showed in [Mor82, ...
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On a class of generalized φ-recurrent Sasakian manifold
... (2n+1)-dimensional smooth connected manifold M is called almost contact manifold if it admits a triple (ϕ , ξ , η) , where ϕ is tensor field of type ( 1, 1 ) , ξ is a global vector field and η is a ...
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Hitchin's equations on a nonorientable manifold
... nonorientable manifold M itself, our involution is fixed-point free on ˜ M and is the identity map on ...the manifold ˜ M and on the structure group G, thus resulting in a different fixed-point set of the ...
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Atomizing nozzle and process
... gas manifold having a divergent expansion chamber between a gas inlet and arcuate manifold segment to minimize standing shock wave patterns in the manifold and thereby improve filling of the ...
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SOME PROPERTIES OF HYPERBOLIC CONTACT MANIFOLD IN A QUASI SASAKIAN MANIFOLD
... The hyperbolic contact manifold was given by Sasaki (1960), A. Al-Aqeel, A. Hamoli and M. D. Upadhyay (1987) have studied some properties of such manifold.CR-submanifold of a Kahlerian manifold has been ...
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Two theorems on (ϵ) Sasakian manifolds
... In this paper, We prove that every e-sasakian manifold is a hypersurface of an indefinite kaehlerian manifold, and give a necessary and sufficient condition for a Riemannian manifold to [r] ...
6
Type I Almost-Homogeneous Manifolds of Cohomogeneity One—IV
... of smooth geodesics in the Mabuchi moduli spaces of the K¨ ahler ...two smooth K¨ ahler metrics which are equivariant under the maximal compact subgroup in a given K¨ ahler class on a type I compact complex ...
10
Horosphere slab separation theorems in manifolds without conjugate points
... Let W n be the set of smooth complete simply connected n-dimensional manifolds without conjugate points. The Euclidean space and the hyperbolic space are examples of these manifolds. Let W ∈ W n and let A and B be ...
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Retractions of One Dimensional Manifold
... Our aim in the present article is to introduce and study types of retraction of one dimensional manifold. New types of geodesics in one dimensional manifold are presented. The deformation retracts of one ...
9