Results 41 to 50 of about 73,082 (280)
Isotropic quasi-Einstein manifolds [PDF]
Classical and Quantum Gravity, 2019 We investigate the local structure of four-dimensional Lorentzian quasi-Einstein manifolds under conditions on the Weyl tensor. We show that if the Weyl tensor is harmonic and the potential function preserves this harmonicity then, in the isotropic case, the manifold is necessarily a $pp$-wave. Using the quasi-Einstein equation, further conclusions are
M Brozos-Vázquez +2 more
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Quarter-Symmetric Metric Connection on a Cosymplectic Manifold
Mathematics, 2023 We study the quarter-symmetric metric A-connection on a cosymplectic manifold. Observing linearly independent curvature tensors with respect to the quarter-symmetric metric A-connection, we construct the Weyl projective curvature tensor on a cosymplectic
Miroslav D. Maksimović +1 more
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Kenmotsu 3-manifolds and gradient solitons
Karpatsʹkì Matematičnì Publìkacìï, 2023 The aim of this article is to characterize a Kenmotsu 3-manifold whose metric is either a gradient Yamabe soliton or gradient Einstein soliton. It is proven that in both cases this manifold is reduced to the manifold of constant sectional curvature ...
F. Mofarreh, U.C. De
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On the structure of conformally compact Einstein metrics [PDF]
, 2010 The main result of this paper is that the space of conformally compact Einstein metrics on a given manifold is a smooth, infinite dimensional Banach manifold, provided it is non-empty, generalizing earlier work of Graham-Lee and Biquard.
Anderson, Michael T.
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On geometry of sub-Riemannian η-Einstein manifolds
Дифференциальная геометрия многообразий фигур, 2019 On a sub-Riemannian manifold of contact type a connection with torsion is considered, called in the work a Ψ-connection. A Ψ-connection is a particular case of an N-connection.
S. Galaev
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Inverse problems for Einstein manifolds
Inverse Problems & Imaging, 2009 Corrected ...
Colin Guillarmou, Antônio Sá Barreto
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Quaternionic contact Einstein manifolds [PDF]
Mathematical Research Letters, 2016 The main result is that the qc-scalar curvature of a seven dimensional quaternionic contact Einstein manifold is a constant. In addition, we characterize qc-Einstein structures with certain flat vertical connection and develop their local structure equations. Finally, regular qc-Ricci flat structures are shown to fibre over hyper-Kahler manifolds.
Ivan Minchev +2 more
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Static traversable wormholes in Lyra manifold
, 2017 At first, considering the Einstein framework, we introduce some new static traversable wormholes, and study the effects of a dark energy-like source on them.
Jahromi, A. Sayahian, Moradpour, H.
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Communications of the Korean Mathematical Society, 2008 The object of the present paper is to study some properties of a quasi Einstein manifold. A non-trivial concrete example of a quasi Einstein manifold is also given.
Biman Kanti De, Uday Chand De
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Advanced Science, EarlyView.A highly efficient extracorporeal device for treating bacteremia is developed by integrating microfluidic bacterial margination and engineered cell‐depleted thrombi strategically constructed in the device. The rodent models, severely infected with antibiotic‐resistant bacteria, recover from bacteremia after two subsequent extracorporeal blood ...
Bong Hwan Jang +4 more
wiley +1 more source