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We explore the notion of Santaló point for the Holmes-Thompson boundary area of a convex body in a normed space. In the case where the norm is C, we prove… Click to show full abstract
We explore the notion of Santaló point for the Holmes-Thompson boundary area of a convex body in a normed space. In the case where the norm is C, we prove existence and uniqueness. When the normed space has a smooth quadratically convex unit ball, we exhibit a dual Santaló point expressed as an average of centroids of projections of its dual body.
Keywords:
thompson boundary;
point;
point holmes;
boundary area;
holmes thompson;
santal point
Journal Title: Advances in Mathematics
Year Published: 2021
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Journal Title: Advances in Mathematics
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!