Spheres and circles in the tangent space at a point on a Riemannian manifold with respect to an indefinite metric

DOI10.30755/NSJOM.07233zbMath1466.53026arXiv1703.10206WikidataQ115224272 ScholiaQ115224272MaRDI QIDQ4989393

Georgi Dzhelepov

Publication date: 25 May 2021

Published in: Novi Sad Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.10206

zbMATH Keywords

Riemannian manifoldcirculant matrixspace-likeindefinite metric tensorsphere equationtime-like

Mathematics Subject Classification ID

Local Riemannian geometry (53B20) Local differential geometry of Lorentz metrics, indefinite metrics (53B30) Euclidean analytic geometry (51N20) Toeplitz, Cauchy, and related matrices (15B05)

Cites Work

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• Circles and spheres in pseudo-Riemannian geometry
• On curves and submanifolds in an indefinite-Riemannian manifold
• Three dimensional hyperbolic spaces
• Riemannian manifolds with two circulant structures
• Hyperbolic Geometry on a Hyperboloid
• Construction of Harmonic Maps Between Pseudo-Riemannian Spheres and Hyperbolic Spaces
• ALMOST EINSTEIN MANIFOLDS WITH CIRCULANT STRUCTURES
• Differential Geometry of Curves and Surfaces in Lorentz-Minkowski space
• On a Three Dimensional Riemannian Manifold with an Additional Structure
• On a structure defined by a tensor field of type (1,1) satisfying \(P^3-P=0\)

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