Results 111 to 120 of about 169,909 (330)
The affine quasi-Einstein Equation for homogeneous surfaces [PDF]
arXiv, 2017 We study the affine quasi-Einstein Equation for homogeneous surfaces. This gives rise through the modified Riemannian extension to new half conformally flat generalized quasi-Einstein neutral signature $(2,2)$ manifolds, to conformally Einstein manifolds and also to new Einstein manifolds through a warped product construction.
arxiv
Medical Physics, EarlyView.Abstract Background A number of studies have suggested that there is a need for improved understanding of dento‐maxillofacial cone beam computed tomography (CBCT) technology, and to establish optimized imaging protocols. While several ex vivo/in vitro studies, along with a few in vivo studies, have addressed this topic, virtual imaging trials could ...
Karen Merken +5 more
wiley +1 more source
Super Quasi-Einstein Warped Products Manifolds with Respect to Affine Connections
AxiomsIn this paper, we investigate warped products on super quasi-Einstein manifolds under affine connections. We explore their fundamental properties, establish conditions for their existence, and prove that these manifolds can also be nearly quasi-Einstein ...
Mohd Vasiulla +3 more
doaj +1 more source
New examples of Sasaki-Einstein manifolds [PDF]
arXiv, 2011 In this note, stimulated by the existence result of Futaki-Ono-Wang for toric Sasaki-Einstein metrics, we obtain new examples of Sasaki-Einstein metrics on S^1-bundles associated to canonical line bundles of P^1-bundles over K\"ahler-Einstein Fano manifolds, even though the Futaki's obstruction does not vanish.
arxiv
On the geometry of trans-para-Sasakian manifolds [PDF]
arXiv, 2018 In this paper, we introduce the trans-para-Sasakian manifolds and we study their geometry. These manifolds are an analogue of the trans-Sasakian manifolds in the Riemannian geometry. We shall investigate many curvature properties of these manifolds and we shall give many conditions under which the manifolds are either $\eta-$Einstein or Einstein ...
arxiv
The Prostate, EarlyView.ABSTRACT Background Current diagnostic tools are inaccurate and not specific to prostate cancer (PCa) diagnosis. Cancer‐derived small extracellular vehicles (sEVs) play a key role in intercellular communication. In this study, we examined the diagnostic value of plasma sEV‐derived carbonic anhydrase IX (CAIX) protein for PCa and clinically significant ...
Haotian Chen +11 more
wiley +1 more source
Sphere Theorems for σk-Einstein Manifolds
AxiomsA problem that geometers have always been concerned with is when a closed manifold is isometric to a round sphere. A classical result shows that a closed locally conformally flat Einstein manifold is always isometric to a quotient of a round sphere.
Jingyang Zhong, Xinran Mu
doaj +1 more source
7D supersymmetric Yang-Mills on curved manifolds
Journal of High Energy Physics, 2017 We study 7D maximally supersymmetric Yang-Mills theory on curved manifolds that admit Killing spinors. If the manifold admits at least two Killing spinors (Sasaki-Einstein manifolds) we are able to rewrite the supersymmetric theory in terms of a ...
Konstantina Polydorou +2 more
doaj +1 more source
Microscopic Model Extension for Lattice Thermal Expansion up to Phase‐Transition Temperature
physica status solidi (b), EarlyView.A model extension equation is presented allowing to describe the soft‐mode anharmonicity leading to second‐order or tricritical phase transitions. Extending the Debye–Einstein–anharmonicity approach describing the material thermal expansion, the gliding function enables to understand and visualize the phase transition internal energy contribution.
Thorsten M. Gesing +2 more
wiley +1 more source
On Riemannian warped-twisted product submersions
AIMS MathematicsIn this paper, we introduce the concepts of Riemannian warped-twisted product submersions and examine their fundamental properties, including total geodesicity, total umbilicity and minimality.
Richa Agarwal +4 more
doaj +1 more source