Results 31 to 40 of about 3,483 (284)
Partition functions of higher derivative conformal fields on conformally related spaces
Journal of High Energy Physics, 2021 The character integral representation of one loop partition functions is useful to establish the relation between partition functions of conformal fields on Weyl equivalent spaces.
Jyotirmoy Mukherjee
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A classification of conformal vector fields on the tangent bundle
Ukrains’kyi Matematychnyi Zhurnal, 2020 UDC 514.7 Let ( M , g ) be a Riemannian manifold and T M be its tangent bundle equipped with a Riemannian (or pseudo-Riemannian) lift metric derived from g . We give a classification of infinitesimal fibre-preserving conformal transformations on the tangent bundle.
Zohre Raei, Dariush Latifi
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Conformal vector fields on statistical manifolds
Revista de la Unión Matemática Argentina, 2022 This paper introduces the notion of conformal vector field on a statistical manifold. A statistical manifold is a triple \((M,g,T)\), where \(g\) is a Riemannian metric tensor on the smooth manifold \(M\), and \(T\) is a covariant tensor of order 3 which is fully symmetric. An equivalent definition can be given replacing \(T\) with an affine connection
Samereh, Leila, Peyghan, Esmaeil
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On the zeros of a conformal vector field [PDF]
Nagoya Mathematical Journal, 1974 In [1] S. Kobayashi showed that the connected components of the set of zeros of a Killing vector field on a Riemannian manifold (Mn,g) are totally geodesic submanifolds of (Mn,g) of even codimension including the case of isolated singular points. The purpose of this short note is to give a simple proof of the corresponding result for conformal vector ...
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Conformal Vector Fields on Some Finsler Manifolds
, 2016 We study conformal vector fields on a Finsler manifold whose metric is defined by a Riemannian metric, a 1-form and its norm. We find PDEs characterizing conformal vector fields.
Shen, Zhongmin, Yuan, Mingao
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Conformal Vector Fields and the De-Rham Laplacian on a Riemannian Manifold
Mathematics, 2021 We study the effect of a nontrivial conformal vector field on the geometry of compact Riemannian spaces. We find two new characterizations of the m-dimensional sphere Sm(c) of constant curvature c.
Amira Ishan +2 more
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Conformal vector fields on pseudo-Riemannian spaces
, 1997 We study conformal vector fields on pseudo-Riemannian manifolds, in particular on Einstein spaces and on spaces of constant scalar curvature. A global classification theorem for conformal vector fields is obtained which are locally gradient fields.
Rademacher, Hans-Bert, Kühnel, Wolfgang
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On Jacobi-Type Vector Fields on Riemannian Manifolds
Mathematics, 2019 In this article, we study Jacobi-type vector fields on Riemannian manifolds. A Killing vector field is a Jacobi-type vector field while the converse is not true, leading to a natural question of finding conditions under which a Jacobi-type vector field ...
Bang-Yen Chen +2 more
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Modulation of Homer1 EVH1 domain internal dynamics by putative autism‐associated mutations
FEBS Letters, EarlyView.The putative autism‐associated M65I and S97L variants of the EVH1 domain of the postsynaptic scaffold protein Homer1 do not exhibit substantial changes in their overall structure or partner binding. Both of them, but especially the M65I variant, show altered internal dynamics relative to the wild‐type domain on the μs‐ms timescale, indicated by the ...
Fanni Farkas +6 more
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Riemann Solitons and Ricci Bi-Conformal Vector Fields on 4-Dimensional Oscillator Group
MathematicsWe consider Riemann soliton vector fields and Ricci bi-conformal vector fields on the oscillator group. We prove that the oscillator group admits Riemann solitons. Subsequently, we provide a complete classification of all Ricci bi-conformal vector fields
Bang-Yen Chen +3 more
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