Results 51 to 60 of about 2,141 (121)
MathematicsAlmost contact complex Riemannian manifolds, also known as almost contact B-metric manifolds, are equipped with a pair of pseudo-Riemannian metrics that are mutually associated with each other using the tensor structure. Here, we consider a special class
Mancho Manev
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Journal of Function Spaces, Volume 2025, Issue 1, 2025.This paper investigates four‐dimensional almost pure metric plastic manifolds equipped with a specific class of tensor fields known as almost plastic structures. We begin by defining these structures through characteristic algebraic identities and present explicit matrix realizations that capture their essential geometric features.
Aydin Gezer +3 more
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2‐Conformal Vector Fields on the Model Sol Space and Hyperbolic Ricci Solitons
Journal of Mathematics, Volume 2025, Issue 1, 2025.In this study, we present the notion of 2‐conformal vector fields on Riemannian and semi‐Riemannian manifolds, which are an extension of Killing and conformal vector fields. Next, we provide suitable vector fields in Sol space that are 2‐conformal. A few implications of 2‐conformal vector fields in hyperbolic Ricci solitons are investigated.
Rawan Bossly +3 more
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A Generalization of the Goldberg-Sachs Theorem and its Consequences
, 2013 The Goldberg-Sachs theorem is generalized for all four-dimensional manifolds endowed with torsion-free connection compatible with the metric, the treatment includes all signatures as well as complex manifolds.
A Newlander +16 more
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On Riemannian 4‐manifolds and their twistor spaces: A moving frame approach
Mathematische Nachrichten, Volume 297, Issue 12, Page 4651-4670, December 2024.Abstract In this paper, we study the twistor space Z$Z$ of an oriented Riemannian 4‐manifold M$M$ using the moving frame approach, focusing, in particular, on the Einstein, non‐self‐dual setting. We prove that any general first‐order linear condition on the almost complex structures of Z$Z$ forces the underlying manifold M$M$ to be self‐dual, also ...
Giovanni Catino +2 more
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Matching the Vilkovisky–DeWitt Effective Action of Quantum Gravity to String Theory
Fortschritte der Physik, Volume 72, Issue 12, December 2024.Abstract In this work, the matching of the Vilkovisky–DeWitt effective action of quantum gravity is discussedwith an example of an ultra‐violet complete theory of quantum gravity. The authors show how this matching enables a calculation of the local Wilson coefficients of the effective action. Several examples in string theory are provided.
Xavier Calmet +3 more
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Zero‐curvature subconformal structures and dispersionless integrability in dimension five
Journal of the London Mathematical Society, Volume 110, Issue 6, December 2024.Abstract We extend the recent paradigm “Integrability via Geometry” from dimensions 3 and 4 to higher dimensions, relating dispersionless integrability of partial differential equations to curvature constraints of the background geometry. We observe that in higher dimensions on any solution manifold, the symbol defines a vector distribution equipped ...
Boris Kruglikov, Omid Makhmali
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Symmetry, Integrability and Geometry: Methods and Applications, 2007 The 2007 Midwest Geometry Conference included a panel discussion devoted to open problems and the general direction of future research in fields related to the main themes of the conference.
Lawrence J. Peterson
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Emergent Sasaki-Einstein geometry and AdS/CFT. [PDF]
Nat Commun, 2022 Berman RJ, Collins TC, Persson D.
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Szegő Kernel Asymptotics on Complete Strictly Pseudoconvex CR Manifolds. [PDF]
J Geom Anal, 2022 Hsiao CY, Marinescu G, Wang H.
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