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On Ricci Solitons and Curvature Properties of Doubly Warped Products with QSMC

open access: yesAxioms
This paper explores the geometric interplay between the Levi–Civita connection and the quarter-symmetric metric connection on doubly warped product manifolds.
Md Aquib   +3 more
doaj   +1 more source

Killing Vector Fields of Invariant Metrics

open access: yesGeometry
We study the existence of Killing vector fields for right-invariant metrics on low-dimensional Lie groups. Specifically, Lie groups of dimension two, three and four are considered. Before attempting to implement the differential conditions that comprise Killing’s equations, the metric is reduced as much as possible by using the automorphism group of ...
openaire   +1 more source

Hydrodynamic Killing vector fields on surfaces

open access: yesJournal of Geometry and Physics
Killing vector fields, which have their origins in Riemannian geometry, have recently garnered attention for their significance in understanding fluid flows on curved surfaces. Owing to the significance of behavior of fluid flows around the boundary and at infinity, in the context of fluid dynamics, Killing vector fields of interest should satisfy the ...
openaire   +2 more sources

Holonomy, Ricci tensor and Killing vector fields [PDF]

open access: yesProceedings of the American Mathematical Society, 1961
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