Nonexistence of stable harmonic maps to and from certain homogeneous spaces and submanifolds of Euclidean space
Nonexistence of stable harmonic maps to and from certain homogeneous spaces and submanifolds of Euclidean space
Call a compact Riemannian manifold <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper M"> <mml:semantics> <mml:mi>M</mml:mi> <mml:annotation encoding="application/x-tex">M</mml:annotation> </mml:semantics> </mml:math> </inline-formula> a strongly unstable manifold if it is not the range or domain of a nonconstant stable harmonic map and also the homotopy class of any map to or from <inline-formula content-type="math/mathml"> <mml:math …