Results 31 to 40 of about 2,893,382 (278)
The zero set of conformal vector fields
, 2010 We show that every connected component of the zero set of a conformal vector field on a Riemannian manifold is totally ...
Moroianu, Andrei, Ornea, Liviu
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Mathematics, 2023 We obtain some generalized Minkowski type integral formulas for compact Riemannian (resp., spacelike) hypersurfaces in Riemannian (resp., Lorentzian) manifolds in the presence of an arbitrary vector field that we assume to be timelike in the case where ...
Norah Alessa, Mohammed Guediri
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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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Harmonic Vector Fields on Pseudo-Riemannian Manifolds [PDF]
, 2014 This thesis generalises the theory of harmonic vector fields to the non-compact pseudo- Riemannian case. After introducing the required background theory we consider the first variation of the local energies to find the Euler-Lagrange equations for this ...
Friswell, Robert Michael
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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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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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Emerging experimental and computational methods for studying redox‐regulated structural transitions
FEBS Letters, EarlyView.Redox reactions can reshape proteins and alter how they behave in cells, with important consequences for health and disease. This review explores emerging experimental and computational approaches for discovering these redox‐sensitive protein switches, revealing their structural effects, and predicting their behavior, opening new opportunities to ...
Tasneem Rass +2 more
wiley +1 more source
FEBS Letters, EarlyView.Encapsulins are protein nanocompartments that play an important role in iron storage. In the Myxococcus xanthus encapsulin system, two cargo proteins called EncB and EncC contribute to iron mineralization. Here, we show that EncB and EncC generate iron‐containing minerals with distinct chemical compositions, suggesting that the composition of stored ...
Harry B. McDowell +2 more
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Classification of Invariant 2-Conformal Vector Fields on 4D Non-Reductive Homogeneous Spaces
AxiomsThe notion of 2-conformal vector fields on pseudo-Riemannian manifolds, which arose naturally in the study of hyperbolic solitons, is introduced by Fasihi-Ramandi, De, and Shamkhali.
Bang-Yen Chen +3 more
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