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Abstract
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Let
be a geodesically forward complete Finsler manifold and
. We observe how the
preimage of a curve in
under
exponential map at can
behave in the tangent space
at
,
when the curve approaches a conjugate cut point of
without crossing
the cut locus of
.
After this investigation, we may regard the internal region of a tangent cut locus of
as the
development of
.
We deal with isometry problems of Finsler manifolds and differentiability conditions
of cut loci.
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Keywords
Finsler manifold, cut locus, azimuthal equidistant
projection, exponential map
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Mathematical Subject Classification 2010
Primary: 53C20
Secondary: 53C22
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Milestones
Received: 4 November 2019
Accepted: 27 May 2020
Published: 3 December 2020
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