K-cowaist of manifolds with boundary
We extend the $K$-cowaist inequality to generalized Dirac operators in the sense of Gromov and Lawson and study applications to manifolds with boundary.
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| Format: | Article |
| Language: | English |
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Académie des sciences
2024-11-01
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| Series: | Comptes Rendus. Mathématique |
| Subjects: | |
| Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.646/ |
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| _version_ | 1825206170172784640 |
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| author | Bär, Christian Hanke, Bernhard |
| author_facet | Bär, Christian Hanke, Bernhard |
| author_sort | Bär, Christian |
| collection | DOAJ |
| description | We extend the $K$-cowaist inequality to generalized Dirac operators in the sense of Gromov and Lawson and study applications to manifolds with boundary. |
| format | Article |
| id | doaj-art-9895317e395f4719868e2e1cfdc76c82 |
| institution | Kabale University |
| issn | 1778-3569 |
| language | English |
| publishDate | 2024-11-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Mathématique |
| spelling | doaj-art-9895317e395f4719868e2e1cfdc76c822025-02-07T11:23:50ZengAcadémie des sciencesComptes Rendus. Mathématique1778-35692024-11-01362G111349135610.5802/crmath.64610.5802/crmath.646K-cowaist of manifolds with boundaryBär, Christian0Hanke, Bernhard1Universität Potsdam, Institut für Mathematik, 14476 Potsdam, GermanyUniversität Augsburg, Institut für Mathematik, 86135 Augsburg, GermanyWe extend the $K$-cowaist inequality to generalized Dirac operators in the sense of Gromov and Lawson and study applications to manifolds with boundary.https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.646/Manifolds with boundarylower scalar curvature bounds, lower mean curvature boundsAtiyah–Patodi–Singer index formula$K$-cowaist$\omega $-cowaist |
| spellingShingle | Bär, Christian Hanke, Bernhard K-cowaist of manifolds with boundary Comptes Rendus. Mathématique Manifolds with boundary lower scalar curvature bounds, lower mean curvature bounds Atiyah–Patodi–Singer index formula $K$-cowaist $\omega $-cowaist |
| title | K-cowaist of manifolds with boundary |
| title_full | K-cowaist of manifolds with boundary |
| title_fullStr | K-cowaist of manifolds with boundary |
| title_full_unstemmed | K-cowaist of manifolds with boundary |
| title_short | K-cowaist of manifolds with boundary |
| title_sort | k cowaist of manifolds with boundary |
| topic | Manifolds with boundary lower scalar curvature bounds, lower mean curvature bounds Atiyah–Patodi–Singer index formula $K$-cowaist $\omega $-cowaist |
| url | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.646/ |
| work_keys_str_mv | AT barchristian kcowaistofmanifoldswithboundary AT hankebernhard kcowaistofmanifoldswithboundary |