Finslerian metric functions over the product \(\mathbb{R}\times M\) and their potential applications

DOI10.1016/S0034-4877(98)80184-5zbMath0922.53006OpenAlexW2092781305MaRDI QIDQ1290345

Gennadii S. Asanov

Publication date: 6 October 1999

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0034-4877(98)80184-5

zbMATH Keywords

Riemannian spaces of constant curvaturephysical applicationsFinsler metric functions

Mathematics Subject Classification ID

Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60) Local differential geometry of Finsler spaces and generalizations (areal metrics) (53B40)

Related Items (26)

Ricci-flat Finsler metrics by warped product ⋮ Conformal gradient fields on Finsler manifolds ⋮ Proof of Laugwitz Conjecture and Landsberg Unicorn Conjecture for Minkowski norms with -symmetry ⋮ Gradient solitons on doubly warped product manifolds ⋮ Levi-Civita Ricci-flat doubly warped product Hermitian manifolds ⋮ On Asanov's Finsleroid-Finsler metrics as the solutions of a conformal rigidity problem ⋮ \(S\)-curvature of doubly warped product of Finsler manifolds ⋮ On doubly warped product Finsler manifolds ⋮ Unnamed Item ⋮ On conformally flat exponential \((\alpha, \beta)\)-metrics ⋮ Warped product Finsler manifolds from Hamiltonian point of view ⋮ Solitons on multiply warped product manifolds ⋮ Pseudo-Finsleroid metrics with two axes ⋮ On a special type of generalized Berwald manifolds: semi-symmetric linear connections preserving the Finslerian length of tangent vectors ⋮ On a class of Finsler metrics of quadratic Weyl curvature ⋮ The \(S\)-curvature of Finsler warped product metrics ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Finsleroid-Finsler spaces of positive-definite and relativistic types ⋮ Finslerian extension of Lorentz transformations ⋮ On the twisted product of Finsler manifolds ⋮ Conformal property of the Finsler space \(\mathcal F_{\text{SR}}\) and extension of electromagnetic field equations ⋮ On conformally doubly warped product Finsler manifold ⋮ On warped product Finsler spaces of Landsberg type ⋮ Finsler Warped Product Metrics of Douglas Type ⋮ On Doubly Twisted Product of Complex Finsler Manifolds

Cites Work

• Finsler geometry, relativity and gauge theories
• On some Lagrangian model concerning the solitary waves
• On parabolic geometry and irreversible macroscopic time
• On the role of the Finsler geometry in the theory of elasto-plasticity
• Principal bundles and gauge theories in the space-time \(\mathbb R \times S^ 3\)
• Finslerian metric and tetrads in static spherically-symmetric case of gravitational field
• Finsler cases of GF-space
• Riemannian and Finslerian geometry in thermodynamics
• Particles and Sources
• Finsler transformation laws for light signal velocities
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