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In this chapter we show how the notion of semiconvexity can be transported from Euclidian spaces to manifolds. The key point will be to show that the notion of semiconvexity is preserved under smooth coordinate changes.

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From Euclidean Spaces to Manifolds: A Brief Note

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  • 发表日期：

    2025年

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  • Kevin R. Payne,
  • Davide Francesco Redaelli

摘要

In this chapter we show how the notion of semiconvexity can be transported from Euclidian spaces to manifolds. The key point will be to show that the notion of semiconvexity is preserved under smooth coordinate changes.