A Riemannian quasiconvexity notion is defined and shown to characterize sequential lower semicontinuity of integral functionals in W^{1,∞} on manifolds.
Marcellini,Approximation of quasiconvex functions, and lower semicontinuity of multiple integrals, Manuscripta Math
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Quasiconvexity in the Riemannian setting
A Riemannian quasiconvexity notion is defined and shown to characterize sequential lower semicontinuity of integral functionals in W^{1,∞} on manifolds.