SPHERICAL TWISTS, SO(n) AND THE LIFTING OF THEIR TWIST PATHS TO Spin(n) IN LOW DIMENSIONS

DOI10.1093/QMATH/HAR007zbMath1253.49003OpenAlexW2120144943MaRDI QIDQ2907045

Ali Taheri

Publication date: 5 September 2012

Published in: The Quarterly Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/qmath/har007

zbMATH Keywords

spherical twistsDirichlet energy functional\(\mathbf{SO}(n)\)\(\mathbf{Spin}(n)\)generalized annuluslifting of twist paths

Mathematics Subject Classification ID

Regularity of solutions in optimal control (49N60) Existence theories for optimal control problems involving partial differential equations (49J20) Optimality conditions for solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49K30)

Related Items (3)

Geodesics on \(\mathrm{SO}(n)\) and a class of spherically symmetric maps as solutions to a nonlinear generalised harmonic map problem ⋮ A class of extremising sphere-valued maps with inherent maximal tori symmetries in \(\mathbf{SO}(n)\) ⋮ GENERALIZED TWISTS AS ELASTIC ENERGY EXTREMALS ON ANNULI, QUATERNIONS AND LIFTING TWIST LOOPS TO THE SPINOR GROUPS

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