Establishes necessary and sufficient existence conditions for the Orlicz-Gauss image problem for pseudo-cones, connects it to spherical optimal transport, and strengthens Schneider's result by a constant factor via variational methods with a restrictive technique.
Oliker, EmbeddingS n intoR n+1 with given integral Gauss curvature and optimal mass transport onS n, Adv
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The Orlicz-Gauss image problem for pseudo-cones and its associated spherical optimal transport
Establishes necessary and sufficient existence conditions for the Orlicz-Gauss image problem for pseudo-cones, connects it to spherical optimal transport, and strengthens Schneider's result by a constant factor via variational methods with a restrictive technique.