| dc.contributor.advisor | Datar, Ved V | |
| dc.contributor.author | Sivaram, P | |
| dc.date.accessioned | 2024-07-24T06:54:41Z | |
| dc.date.available | 2024-07-24T06:54:41Z | |
| dc.date.submitted | 2024 | |
| dc.identifier.uri | https://etd.iisc.ac.in/handle/2005/6572 | |
| dc.description.abstract | The thesis consists of two parts. In the first part of the thesis, we classify the
convergence behaviour of rotationally symmetric solutions to the modified J-flow
on the blow-up of the complex projective space at a point.
In the second part of the thesis, we adapt the PDE approach of Guo et al. to prove
an L∞ estimate for transverse complex Monge-Amp`ere equations on a homologically
orientable transverse Kahler manifolds. As an application, we obtain a purely PDE
proof of the regularity of Calabi-Yau cone metrics on Q-Gorenstein T-varieties. | en_US |
| dc.language.iso | en_US | en_US |
| dc.relation.ispartofseries | ;ET00582 | |
| dc.rights | I grant Indian Institute of Science the right to archive and to make available my thesis or dissertation in whole or in part in all forms of media, now hereafter known. I retain all proprietary rights, such as patent rights. I also retain the right to use in future works (such as articles or books) all or part
of this thesis or dissertation | en_US |
| dc.subject | convergence behaviour | en_US |
| dc.subject | Monge-Ampere equations | en_US |
| dc.subject | J-equation | en_US |
| dc.subject | Calabi ansatz | en_US |
| dc.subject | J-flow | en_US |
| dc.subject | Hessian equation | en_US |
| dc.subject | Monge-Ampere equation | en_US |
| dc.subject.classification | Research Subject Categories::MATHEMATICS | en_US |
| dc.title | On existence and regularity of some complex Hessian equations on Kahler and transverse Kahler manifolds | en_US |
| dc.type | Thesis | en_US |
| dc.degree.name | PhD | en_US |
| dc.degree.level | Doctoral | en_US |
| dc.degree.grantor | Indian Institute of Science | en_US |
| dc.degree.discipline | Faculty of Science | en_US |
