An application of stress energy tensor to the vanishing theorem of differential forms
The author applies the stress energy of differential forms to study the vanishing theorems of the Liouville type. It is shown that for a large class of underlying manifolds such as the Euclidean n-space, the complex n-space, and the complex hyperbolic space form, if any vector bundle valued p-form w...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
1988-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171288000821 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832545291715215360 |
|---|---|
| author | Kairen Cai |
| author_facet | Kairen Cai |
| author_sort | Kairen Cai |
| collection | DOAJ |
| description | The author applies the stress energy of differential forms to study the vanishing theorems of the Liouville type. It is shown that for a large class of underlying manifolds such as the Euclidean n-space, the complex n-space, and the complex hyperbolic space form, if any vector bundle valued p-form with conservative stress energy tensor is of finite norm or slowly divergent norm, then the p-form vanishes. This generalizes the recent results due to Hu and Sealey. |
| format | Article |
| id | doaj-art-2d352b8070ad41b3864cf2ceb2b3585f |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1988-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-2d352b8070ad41b3864cf2ceb2b3585f2025-02-03T07:26:09ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251988-01-0111467568210.1155/S0161171288000821An application of stress energy tensor to the vanishing theorem of differential formsKairen Cai0Department of Mathematics and Statistics, Southern Illinois University at Edwardsville, Edwardsville 62026-1653, Illinois, USAThe author applies the stress energy of differential forms to study the vanishing theorems of the Liouville type. It is shown that for a large class of underlying manifolds such as the Euclidean n-space, the complex n-space, and the complex hyperbolic space form, if any vector bundle valued p-form with conservative stress energy tensor is of finite norm or slowly divergent norm, then the p-form vanishes. This generalizes the recent results due to Hu and Sealey.http://dx.doi.org/10.1155/S0161171288000821conservationstress energy tensorcomplex hyperbolic space formvector bundle valued p-form. |
| spellingShingle | Kairen Cai An application of stress energy tensor to the vanishing theorem of differential forms International Journal of Mathematics and Mathematical Sciences conservation stress energy tensor complex hyperbolic space form vector bundle valued p-form. |
| title | An application of stress energy tensor to the vanishing theorem of differential forms |
| title_full | An application of stress energy tensor to the vanishing theorem of differential forms |
| title_fullStr | An application of stress energy tensor to the vanishing theorem of differential forms |
| title_full_unstemmed | An application of stress energy tensor to the vanishing theorem of differential forms |
| title_short | An application of stress energy tensor to the vanishing theorem of differential forms |
| title_sort | application of stress energy tensor to the vanishing theorem of differential forms |
| topic | conservation stress energy tensor complex hyperbolic space form vector bundle valued p-form. |
| url | http://dx.doi.org/10.1155/S0161171288000821 |
| work_keys_str_mv | AT kairencai anapplicationofstressenergytensortothevanishingtheoremofdifferentialforms AT kairencai applicationofstressenergytensortothevanishingtheoremofdifferentialforms |