Results 51 to 60 of about 214,904 (150)
Four‐Dimensional pp‐Wave Lie Groups and Harmonic Curvature
Mathematische Nachrichten, Volume 299, Issue 7, Page 1751-1780, July 2026.ABSTRACT We determine all four‐dimensional Lie groups which have harmonic curvature. In parallel, a description of four‐dimensional pp‐wave Lie groups is obtained.
E. García‐Río +2 more
wiley +1 more source
On h-almost conformal η-Ricci-Bourguignon soliton in a perfect fluid spacetime [PDF]
The primary object of the paper is to study h-almost conformal η-Ricci-Bourguignon soliton in an almost pseudo-symmetric Lorentzian Kähler spacetime manifold when some different curvature tensors vanish identically.
Pahan, Sampa
core +1 more source
Affine hypersurfaces and superintegrable systems
Journal of the London Mathematical Society, Volume 114, Issue 1, July 2026.Abstract It was recently shown that under mild assumptions, second‐order conformally superintegrable systems can be encoded in a (0,3)‐tensor, called structure tensor. For abundant systems, this approach led to algebraic integrability conditions that essentially allow one to restore a system from the knowledge of its structure tensor in a point on the ...
Vicente Cortés, Andreas Vollmer
wiley +1 more source
Degree theory for 4‐dimensional asymptotically conical gradient expanding solitons
Communications on Pure and Applied Mathematics, Volume 79, Issue 5, Page 1151-1298, May 2026.Abstract We develop a new degree theory for 4‐dimensional, asymptotically conical gradient expanding solitons. Our theory implies the existence of gradient expanding solitons that are asymptotic to any given cone over S3$S^3$ with non‐negative scalar curvature. We also obtain a similar existence result for cones whose link is diffeomorphic to S3/Γ$S^3/\
Richard H. Bamler, Eric Chen
wiley +1 more source
On Non‐Compact Extended Bach Solitons
Mathematische Nachrichten, Volume 299, Issue 5, Page 1140-1151, May 2026.ABSTRACT We study the characterization of non‐compact solitons of the extended Bach flow, known as an extended Bach soliton. We prove that a weakly conformally flat extended Bach soliton (Mn,g,V)$(M^n,g,V)$ with harmonic Weyl tensor is Bach‐flat and the potential vector field V$V$ is conformal.
Rahul Poddar
wiley +1 more source
Fortschritte der Physik, Volume 74, Issue 4, April 2026.Abstract String theory has strong implications for cosmology, implying the absence of a cosmological constant, ruling out single‐field slow‐roll inflation, and that black holes decay. The origins of these statements are elucidated within the string‐theoretical swampland programme.
Kay Lehnert
wiley +1 more source
Riemann Solitons on Relativistic Bulk‐Viscous Fluid String Spacetime
International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.In this article, we undertake a comprehensive study of almost Riemann solitons and their gradient counterparts within the framework of relativistic bulk‐viscous fluid string (BVFS) geometries. We begin by analyzing the potential vector field. It is shown that, on BVFS backgrounds, this potential vector must coincide with a torse‐forming field which is ...
Mehdi Jafari +2 more
wiley +1 more source
Generalized Z‐Solitons on LP‐Sasakian Manifolds With the General Connection
Journal of Mathematics, Volume 2026, Issue 1, 2026.This work focuses on LP‐Sasakian manifolds endowed with generalized Z‐solitons constructed with respect to an arbitrary affine connection. To conclude, we provide an explicit and nontrivial example in the four‐dimensional case, thereby establishing the realization of such solitons on LP‐Sasakian manifolds.
Shahroud Azami +2 more
wiley +1 more source
, 2023 Ricci solitons with concircular and conformal killing potential vector fields in complexSasakian manifolds are investigated. In addition, it is shown that a Ricci soliton in complexSasakian manifolds satisfying the conditions ρ(U, X)R = 0 and ρ(V, X)R ...
Vanlı, Aysel
core +1 more source
Journal of Mathematics, Volume 2026, Issue 1, 2026.In this paper, we investigate the geometric properties of η‐Ricci–Bourguignon (η‐RB) solitons on para‐Sasakian manifolds equipped with a semisymmetric nonmetric connection (SSNMC). By employing the complete lift on the tangent bundle, we derive curvature relations, Ricci identities, Ricci flow, and the corresponding η‐RB soliton equations for the ...
Lalnunenga Colney +4 more
wiley +1 more source