The bigraded Rumin complex via differential forms / Jeffrey S. Case.
| Author/creator | Case, Jeffrey S. |
| Format | Electronic |
| Publication Info | Providence, RI, USA : American Mathematical Society, [2025] |
| Description | v, 93 pages ; 25 cm. |
| Supplemental Content | Full text available from eBooks on EBSCOhost |
| Subjects |
| Series | Memoirs of the American Mathematical Society, 0065-9266 ; number 1538 |
| Abstract | "We give a new CR invariant treatment of the bigraded Rumin complex and related cohomology groups via differential forms. A key benefit is the identification of balanced A-structures on the Rumin and bigraded Rumin complexes. We also prove related Hodge decomposition theorems. Among many applications, we give a sharp upper bound on the dimension of the Kohn-Rossi groups , of a closed strictly pseudoconvex manifold with a contact form of nonnegative pseudohermitian Ricci curvature; we prove a sharp analogue of the Frolicher inequalities in terms of the second page of a natural spectral sequence; we give new proofs of selected topological properties of closed Sasakian manifolds; and we generalize the Lee class - whose vanishing is necessary and sufficient for the existence of a pseudo-Einstein contact form-to all nondegenerate orientable manifolds"-- Provided by publisher. |
| General note | "January 2025, Volume 305, Number 1538 (fourth of 7 numbers)"--Title page. |
| Bibliography note | Includes bibliographical references. |
| Access restriction | Available only to authorized users. |
| Technical details | Mode of access: World Wide Web |
| Genre/form | Electronic books. |
| LCCN | 2025010614 |
| ISBN | 9781470473099 (paperback) |
| ISBN | (pdf) |
Availability
| Library | Location | Call Number | Status | Item Actions |
|---|---|---|---|---|
| Electronic Resources | Access Content Online | ✔ Available |