Tangent Bundle
Tangent Bundle of the Hypersurfaces in a Euclidean Space
... its tangent bundle T M as submanifold of the Euclidean space R 2n+2 is not a natural ...the tangent bundle T M of an immersed orientable hypersurface M in the Euclidean space R n+1 ...
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A Kähler Einstein structure on the tangent bundle of a space form
... The tangent bundle T M of a Riemannian manifold (M,g) can be organized as an almost Kählerian manifold (see [3, 10, 18]) by using the Sasaki metric and an almost complex structure defined by the splitting of ...
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THE VECTOR FIELDS ACROSS THE TANGENT BUNDLE TO A SPINNING 2-SPHERE
... (as in [10], also cf. [11], p. 468, 476); rather we analyze a tangent bundle to a spinning sphere. To be sure, our approach here is that of a Gaussian intrinsic geometry; we deduce the existence of a ...
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On Tachibana and Vishnevskii Operators Associated with Certain Structures in the Tangent Bundle
... DOI: 10.4236/jamp.2018.610168 1969 Journal of Applied Mathematics and Physics This paper is organized as follows: Section 2 describes some basic definitions and notations. Section 3 deals with the study of Tachibana and ...
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Lorentz invariant quantum fields in the space time tangent bundle
... To accommodate normalization associated with the four-velocity coordinate of the space-time tangent bundle, the integration measure in the tangent space must be appropriately chosen. This would be ...
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Arrangements of Submanifolds and the Tangent Bundle Complement
... The chapter is organized as follows. In Section 3.1, we define the new object of study, the arrangement of submanifolds and present some examples. After these def- initions and examples we introduce the tangent ...
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Orthogonality of Homogeneous geodesics on the tangent bundle
... In [3] we prove some conditions about existence and orthogonality of ho- mogeneous vectors for both cases of G semisimple and weakly semisim- ple. For example in theorem 5.3 in [3], we prove that if G is a semisimple Lie ...
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Local Symmetry of Unit Tangent Sphere Bundle With g- Natural Almost Contact B-Metric Structure
... the tangent bundle and unit tangent sphere bundle of a Riemannian manifold (M, g) and we introduce al- most contact B-metric structure on T 1 M ...
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Lagrange geometry on tangent manifolds
... 1. Preliminaries. Lagrange geometry [3, 6, 7] is the extension of Finsler ge- ometry (e.g., [1]) to transversal “metrics” (nondegenerate quadratic forms) of the vertical foliation (the foliation by fibers) of a ...
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Deformations of nearly Kähler instantons
... principal bundle induces a connection on the tangent bundle, and it is well-known that this connection coincides with the canonical connection associated with the nearly Kähler ...
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Embeddings of Almost Hermitian Manifold in Almost Hyper Hermitian Manifold and Complex (Hypercomplex) Numbers in Riemannian Geometry
... the tangent bundle TM with help of the Riemannian connection of an almost Hermitian structure on a manifold M then, we consider an embedding of the almost Hermitian manifold M in the corresponding normal ...
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Triadophilia: A special corner in the landscape
... is the Euler number of the manifold and, as the result of a conifold transition, this changes by twice the number of nodes of the conifold. This jump is the inevitable consequence of the fact that the tangent ...
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On the vertical bundle of a pseudo Finsler manifold
... 1. Introduction. As it is well known, the vertical vector bundle VTM of a manifold M is an integrable distribution on the tangent bundle TM of M. The present paper is concerned with the study of the ...
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An example of an almost hyperbolic Hermitian manifold
... By taking the vector bundle E to be the tangent bundle TM of the manifold M, it follows that Theorem 5 establishes the conditions under which an almost hyperbohc Hermitian structure on M[r] ...
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Global Theory of Smooth Functions of Manifolds
... The tangent bundle U() , any smooth atlas {( ! , ! )} !∈# , with associated structure cocycle 2 !% !,%∈# for , provides a structure cocycle { ! , {2 !% } !,%∈# ...the bundle structure of U() and ...
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STABLE EQUIVALENCE THEOREM. Let MandN be closed CAT -manifolds.
... stable tangent bundle of one pulls back to the stable tangent bundle of the other; other words, the direct sum of the tangent bundle with a trivial line bundle on the ...
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Tangent measure distributions and the geometry of measures
... ate tangent space depending on the dimension of the ...unique tangent measure distributions of a measure and the tangent spaces? W hat types of distributions can occur as unique tangent ...
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The nervous system of Isodiametra pulchra (Acoela) with a discussion on the neuroanatomy of the Xenacoelomorpha and its evolutionary implications
... neurite bundle “splits”, a tract extends directly ahead to the anterior lobe, together with the dorsal side of the frontal ring and the posterior com- missure forming a trapezoid structure on top of the statocyst ...
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Personalized Peregrinate Sequence Recommendation On Multi-Source Immensely Colossal Convivial Media
... In this paper, we proposed a customized peregrinate grouping suggestion framework by taking in topical bundle display from sizably voluminous multi-source gregarious media: travelogs and group contributed ...
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Contracted Lorentz invariance for gravity with a preferred foliation
... frame bundle is the natural structure to de- scribe spacetime geometry in preferred foliation ...frame bundle, there is still a notion of transformations be- tween inertial frames, given not by Lorentz but ...
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