The geometry of spacetime forms the very foundation of modern gravitational theory, where the elegant interplay between curvature and matter is described by Einstein’s field equations. In this ...
In this paper, it is proved that a trans-Sasakian 3-manifold is locally symmetric if and only if it is locally isometric to the sphere space 𝕊³(c²), the hyperbolic space ℍ³(−c²), the Euclidean space ...
The study of Einstein metrics on nilpotent Lie groups occupies a significant niche in differential geometry, melding abstract algebra with geometric analysis. Einstein metrics, defined by a ...
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