(Q2498782)

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Finsler manifold

smooth manifold equipped with a Minkowski functional at each tangent space

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instance of

mathematical concept

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subclass of

differentiable manifold

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named after

Paul Finsler

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defining formula

{\begin{aligned}&F\colon \mathrm {T} M\to [0,\infty )\\&\forall x\forall v,w\in \mathrm {T} _{x}M\colon F(v+w)\leq F(v)+F(w)\\&\forall x\forall v\in \mathrm {T} _{x}M\forall t>0\colon F(tv)=tF(v)\\&\forall x\forall v\in \mathrm {T} _{x}M\colon (F(v)=0\implies v=0)\end{aligned}}

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maintained by WikiProject

WikiProject Mathematics

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topic's main category

Category:Finsler geometry

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Identifiers

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28 October 2013

Microsoft Academic ID

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1 reference

26 January 2022

https://docs.openalex.org/download-snapshot/snapshot-data-format

PlanetMath ID

FinslerGeometry

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(Q2498782)

Finsler manifold

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