On totally contact umbilical submanifolds of a manifold with a sasakian 3-structure
In our paper [5] we proved that any totally contact umbilical submanifold M of a manifold with a Sasakian 3-structure with dim <IMG SRC="http:/img/fbpe/rtfiuz/v27n3/art04ec1.gif" WIDTH=18 HEIGHT=18>> 1, <FONT FACE=Symbol>"</FONT>x<FONT FACE=Symbol>Î</FONT...
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Universidad del Zulia
2004-12-01
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Online Access: | http://wwww.scielo.org.ve/scielo.php?script=sci_arttext&pid=S0254-07702004000300004 |
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doaj-9b3c915c7b7d4fa18248decfc628f9ed2020-12-02T03:25:02ZengUniversidad del ZuliaRevista Técnica de la Facultad de Ingeniería0254-07702004-12-01273168172On totally contact umbilical submanifolds of a manifold with a sasakian 3-structureConstantin CalinIn our paper [5] we proved that any totally contact umbilical submanifold M of a manifold with a Sasakian 3-structure with dim <IMG SRC="http:/img/fbpe/rtfiuz/v27n3/art04ec1.gif" WIDTH=18 HEIGHT=18>> 1, <FONT FACE=Symbol>"</FONT>x<FONT FACE=Symbol>Î</FONT>M , is totally contact geodesic. In the present paper we solve the remaining cases. Namely, when dim <IMG SRC="http:/img/fbpe/rtfiuz/v27n3/art04ec1.gif" WIDTH=18 HEIGHT=18 > or = 0, or dim <IMG SRC="http:/img/fbpe/rtfiuz/v27n3/art04ec1.gif" WIDTH=18 HEIGHT=18 > or = 1, M is totally contact geodesic or an intrinsic sphere respectively.<br>En nuestro trabajo [5] probamos que cualquier subvariedad con contacto umbilical completo de una variedad con una estructura-3 Sasakian con dim <IMG SRC="http:/img/fbpe/rtfiuz/v27n3/art04ec1.gif" WIDTH=18 HEIGHT=18>> 1, para todo x que pertenece a M, es de contacto geodésico total. En el presente trabajo resolvemos los casos restantes. A saber, cuando dim <IMG SRC="http:/img/fbpe/rtfiuz/v27n3/art04ec1.gif" WIDTH=18 HEIGHT=18 > o = 0 ó dim <IMG SRC="http:/img/fbpe/rtfiuz/v27n3/art04ec1.gif" WIDTH=18 HEIGHT=18 > o = 1, M es de contacto geodésico total o una esfera intrínseca. rectivamente.http://wwww.scielo.org.ve/scielo.php?script=sci_arttext&pid=S0254-07702004000300004Estructura 3-Sasakiancontacto umbilical completocontacto geodésico totalesfera extrínsecaSasakian-3 structuretotally contact umbilicaltotally contact geodesicextrinsic sphere |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Constantin Calin |
spellingShingle |
Constantin Calin On totally contact umbilical submanifolds of a manifold with a sasakian 3-structure Revista Técnica de la Facultad de Ingeniería Estructura 3-Sasakian contacto umbilical completo contacto geodésico total esfera extrínseca Sasakian-3 structure totally contact umbilical totally contact geodesic extrinsic sphere |
author_facet |
Constantin Calin |
author_sort |
Constantin Calin |
title |
On totally contact umbilical submanifolds of a manifold with a sasakian 3-structure |
title_short |
On totally contact umbilical submanifolds of a manifold with a sasakian 3-structure |
title_full |
On totally contact umbilical submanifolds of a manifold with a sasakian 3-structure |
title_fullStr |
On totally contact umbilical submanifolds of a manifold with a sasakian 3-structure |
title_full_unstemmed |
On totally contact umbilical submanifolds of a manifold with a sasakian 3-structure |
title_sort |
on totally contact umbilical submanifolds of a manifold with a sasakian 3-structure |
publisher |
Universidad del Zulia |
series |
Revista Técnica de la Facultad de Ingeniería |
issn |
0254-0770 |
publishDate |
2004-12-01 |
description |
In our paper [5] we proved that any totally contact umbilical submanifold M of a manifold with a Sasakian 3-structure with dim <IMG SRC="http:/img/fbpe/rtfiuz/v27n3/art04ec1.gif" WIDTH=18 HEIGHT=18>> 1, <FONT FACE=Symbol>"</FONT>x<FONT FACE=Symbol>Î</FONT>M , is totally contact geodesic. In the present paper we solve the remaining cases. Namely, when dim <IMG SRC="http:/img/fbpe/rtfiuz/v27n3/art04ec1.gif" WIDTH=18 HEIGHT=18 > or = 0, or dim <IMG SRC="http:/img/fbpe/rtfiuz/v27n3/art04ec1.gif" WIDTH=18 HEIGHT=18 > or = 1, M is totally contact geodesic or an intrinsic sphere respectively.<br>En nuestro trabajo [5] probamos que cualquier subvariedad con contacto umbilical completo de una variedad con una estructura-3 Sasakian con dim <IMG SRC="http:/img/fbpe/rtfiuz/v27n3/art04ec1.gif" WIDTH=18 HEIGHT=18>> 1, para todo x que pertenece a M, es de contacto geodésico total. En el presente trabajo resolvemos los casos restantes. A saber, cuando dim <IMG SRC="http:/img/fbpe/rtfiuz/v27n3/art04ec1.gif" WIDTH=18 HEIGHT=18 > o = 0 ó dim <IMG SRC="http:/img/fbpe/rtfiuz/v27n3/art04ec1.gif" WIDTH=18 HEIGHT=18 > o = 1, M es de contacto geodésico total o una esfera intrínseca. rectivamente. |
topic |
Estructura 3-Sasakian contacto umbilical completo contacto geodésico total esfera extrínseca Sasakian-3 structure totally contact umbilical totally contact geodesic extrinsic sphere |
url |
http://wwww.scielo.org.ve/scielo.php?script=sci_arttext&pid=S0254-07702004000300004 |
work_keys_str_mv |
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