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Volume 58, Issue 2
Moduli Spaces of Metrics with Lower or Pinched Curvature Bounds and Their Compactifications

Wilderich Tuschmann

DOI: 10.4208/jms.v58n2.25.04

J. Math. Study, 58 (2025), pp. 175-187.

Published online: 2025-06

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  • Abstract

We present a metric approach to the study of moduli spaces of metrics with certain curvature bounds and suitable other geometric constraints, and their compactifications. This is accompanied by a deeper discussion of related results, questions and problems in the realm of positive and positively pinched sectional as well as Ricci curvature. Regarding the latter two topics, we place special emphasis on corresponding works and contributions of Rong X and his collaborators.

  • Keywords

Moduli spaces, metrics, lower curvature bounds, pinching.

  • AMS Subject Headings

53C20

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JMS-58-175, author = {Tuschmann , Wilderich}, title = {Moduli Spaces of Metrics with Lower or Pinched Curvature Bounds and Their Compactifications}, journal = {Journal of Mathematical Study}, year = {2025}, volume = {58}, number = {2}, pages = {175--187}, abstract = {

We present a metric approach to the study of moduli spaces of metrics with certain curvature bounds and suitable other geometric constraints, and their compactifications. This is accompanied by a deeper discussion of related results, questions and problems in the realm of positive and positively pinched sectional as well as Ricci curvature. Regarding the latter two topics, we place special emphasis on corresponding works and contributions of Rong X and his collaborators.

}, issn = {2617-8702}, doi = {https://doi.org/10.4208/jms.v58n2.25.04}, url = {http://global-sci.org/intro/article_detail/jms/24209.html} }
TY - JOUR T1 - Moduli Spaces of Metrics with Lower or Pinched Curvature Bounds and Their Compactifications AU - Tuschmann , Wilderich JO - Journal of Mathematical Study VL - 2 SP - 175 EP - 187 PY - 2025 DA - 2025/06 SN - 58 DO - http://doi.org/10.4208/jms.v58n2.25.04 UR - https://global-sci.org/intro/article_detail/jms/24209.html KW - Moduli spaces, metrics, lower curvature bounds, pinching. AB -

We present a metric approach to the study of moduli spaces of metrics with certain curvature bounds and suitable other geometric constraints, and their compactifications. This is accompanied by a deeper discussion of related results, questions and problems in the realm of positive and positively pinched sectional as well as Ricci curvature. Regarding the latter two topics, we place special emphasis on corresponding works and contributions of Rong X and his collaborators.

Tuschmann , Wilderich. (2025). Moduli Spaces of Metrics with Lower or Pinched Curvature Bounds and Their Compactifications. Journal of Mathematical Study. 58 (2). 175-187. doi:10.4208/jms.v58n2.25.04
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