The lengt of thesecond fundamental form, atangency principle and applications
Fuente:
Redalyc
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Artículo científico |
| Lingua: | en |
| Pubblicazione: |
Academia Brasileira de Ciências
2004
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1876424271983542272 |
|---|---|
| author | Francisco X. Fontenele |
| author_facet | Francisco X. Fontenele |
| contents | The lengt of thesecond fundamental form, atangency principle and applications Francisco X. Fontenele Sérgio L. Silva Multidisciplinaria (Ciencias Naturales y Exactas) balls hypersurfaces radius estimates tangency principle second fundamental form In this paper we prove a tangency principle (see Fontenele and Silva 2001) related with the length of the second fundamental form, for hypersurfaces of an arbitrary ambient space. As geometric applications, we make radius estimates of the balls that lie in some component of the complementary of a complete hypersurface into Euclidean space, generalizing and improving analogous radius estimates for embedded compact hypersurfaces obtained by Blaschke, Koutroufiotis and the authors. The basic tool established here is that some operator is elliptic at points where the second fundamental form is positive definite. 2004 artículo científico 0001-3765 https://www.redalyc.org/articulo.oa?id=32776101 en http://www.redalyc.org/revista.oa?id=327 Anais da Academia Brasileira de Ciências application/pdf Academia Brasileira de Ciências Anais da Academia Brasileira de Ciências (Brasil) Num.1 Vol.76 |
| format | Artículo científico |
| id | redalyc_32776101 |
| institution | Redalyc |
| language | en |
| publishDate | 2004 |
| publisher | Academia Brasileira de Ciências |
| spellingShingle | The lengt of thesecond fundamental form, atangency principle and applications Francisco X. Fontenele Multidisciplinaria (Ciencias Naturales y Exactas) balls hypersurfaces radius estimates tangency principle second fundamental form The lengt of thesecond fundamental form, atangency principle and applications Francisco X. Fontenele Sérgio L. Silva Multidisciplinaria (Ciencias Naturales y Exactas) balls hypersurfaces radius estimates tangency principle second fundamental form In this paper we prove a tangency principle (see Fontenele and Silva 2001) related with the length of the second fundamental form, for hypersurfaces of an arbitrary ambient space. As geometric applications, we make radius estimates of the balls that lie in some component of the complementary of a complete hypersurface into Euclidean space, generalizing and improving analogous radius estimates for embedded compact hypersurfaces obtained by Blaschke, Koutroufiotis and the authors. The basic tool established here is that some operator is elliptic at points where the second fundamental form is positive definite. 2004 artículo científico 0001-3765 https://www.redalyc.org/articulo.oa?id=32776101 en http://www.redalyc.org/revista.oa?id=327 Anais da Academia Brasileira de Ciências application/pdf Academia Brasileira de Ciências Anais da Academia Brasileira de Ciências (Brasil) Num.1 Vol.76 |
| title | The lengt of thesecond fundamental form, atangency principle and applications |
| topic | Multidisciplinaria (Ciencias Naturales y Exactas) balls hypersurfaces radius estimates tangency principle second fundamental form |
| url | https://www.redalyc.org/articulo.oa?id=32776101 |