Geodesics and deformed spheres
Geodesics and deformed spheres
A simple class of deformed <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="2"> <mml:semantics> <mml:mn>2</mml:mn> <mml:annotation encoding="application/x-tex">2</mml:annotation> </mml:semantics> </mml:math> </inline-formula>-spheres is given whose intrinsic geometry and geodesies are described by elementary functions. Simple, explicit conditions for closed geodesies are obtained.