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We introduce variational obstacle avoidance problems on Riemannian manifolds and derive necessary conditions for the existence of their normal extremals. The problem consists of minimizing an energy ...
Riemann Surface: A one-dimensional complex manifold that serves as the natural domain for studying holomorphic functions and forms the basis for many minimal surface constructions.
In this paper, we characterize three-dimensional Riemannian manifolds M 3 M 3 admitting Ricci–Yamabe solitons (RYSs). It is proved that if an M 3 M 3 endowed with a semi-symmetric metric ζ ζ ...
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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 ...
Tensor analysis on manifolds by Richard L. Bishop Publication date 1980 Topics Calculus of tensors., Manifolds (Mathematics) Publisher Dover Publications Collection internetarchivebooks; inlibrary; ...
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