Publicação
Mean-value property for functions on the Heisenberg group
| Resumo: | The object of this thesis is the study of functions on the Heisenberg group that satisfy the mean-value property. Here we prove, using an asymptotic expansion up to order 4, two necessary conditions that functions must satisfy in order to realise such property. About the contents treated, we start with a brief introduction to classical differential geometry followed by some elements sub-Riemannian geometry. The last chapter concerns the proof of the result of this thesis. |
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| Autores principais: | Santiago, Miguel Nuno Pereira |
| Assunto: | Sub-Riemannian geometry Mean-value-property Heisenberg group |
| Ano: | 2023 |
| País: | Portugal |
| Tipo de documento: | dissertação de mestrado |
| Tipo de acesso: | acesso aberto |
| Instituição associada: | Universidade de Aveiro |
| Idioma: | inglês |
| Origem: | RIA - Repositório Institucional da Universidade de Aveiro |
| Resumo: | The object of this thesis is the study of functions on the Heisenberg group that satisfy the mean-value property. Here we prove, using an asymptotic expansion up to order 4, two necessary conditions that functions must satisfy in order to realise such property. About the contents treated, we start with a brief introduction to classical differential geometry followed by some elements sub-Riemannian geometry. The last chapter concerns the proof of the result of this thesis. |
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