Results 31 to 40 of about 5,240 (289)
On a class of even-dimensional manifolds structured by an affine connection
International Journal of Mathematics and Mathematical Sciences, 2002 We deal with a 2m-dimensional Riemannian manifold (M,g) structured by an affine connection and a vector field 𝒯, defining a 𝒯-parallel connection. It is proved that 𝒯 is both a torse forming vector field and an exterior concurrent vector
I. Mihai, A. Oiagă, R. Rosca
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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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Conformally recurrent space-times admitting a proper conformal vector field
, 2014 In this paper we study the properties of conformally recurrent pseudo Riemannian manifolds admitting a proper conformal vector field with respect to the scalar field σ, focusing particularly on the 4-dimensional Lorentzian case.
De, Uday Chand, Mantica, Carlo Alberto
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Almost Conformal Vector Fields on a Riemannian Manifold
MathematicsWe introduce the notion of an almost conformal vector field, which generalizes conformal vector fields and recently introduced m-modified conformal vector fields on a Riemannian manifold.
Sharief Deshmukh, Hana Al-Sodais
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On the Tachibana numbers of closed manifolds with pinched negative sectional curvature
Дифференциальная геометрия многообразий фигур, 2020 Conformal Killing form is a natural generalization of conformal Killing vector field. These forms were extensively studied by many geometricians. These considerations were motivated by existence of various applications for these forms.
S.E. Stepanov, I. I. Tsyganok
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European Physical Journal C: Particles and Fields, 2023 We consider dark energy models obtained from the general conformal transformation of the Kropina metric, representing an $$(\alpha , \beta )$$ ( α , β ) -type Finslerian geometry, constructed as the ratio of the square of a Riemannian metric $$\alpha ...
Rattanasak Hama +2 more
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Characterizing spheres by an immersion in Euclidean spaces
Arab Journal of Mathematical Sciences, 2017 In this paper we study compact immersed orientable hypersurfaces in the Euclidean space Rn+1 and show that suitable restrictions on the tangential and normal components of the immersion give different characterizations of the spheres.
Sharief Deshmukh, Ibrahim Al-Dayel
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Null vectors in logarithmic conformal field theory [PDF]
Proceedings of Non-perturbative Quantum Effects 2000 — PoS(tmr2000), 2000 The representation theory of the Virasoro algebra in the case of a logarithmic conformal field theory is considered. Here, indecomposable representations have to be taken into account, which has many interesting consequences. We study the generalization of null vectors towards the case of indecomposable representation modules and, in particular, how ...
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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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