The metric measure boundary of spaces with Ricci curvature bounded below
We solve a conjecture raised by Kapovitch, Lytchak and Petrunin in [KLP21] by showing that the metric measure boundary is vanishing on any RCD(𝐾,𝑁) space (𝑋,𝖽,ℋ𝑁) without boundary. Our result, combined with [KLP21], settles an open question about the existence of infinite geodesics on Alexandrov spa...
| Main Authors: | , , |
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| Format: | Journal article |
| Language: | English |
| Published: |
Springer
2023
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