The author knows how to interpret the city is a complex task that met the physical form and also all the images that are transmitted by the sensations. However the aim of this paper is to demonstrate the importance of...The author knows how to interpret the city is a complex task that met the physical form and also all the images that are transmitted by the sensations. However the aim of this paper is to demonstrate the importance of studying the morphological categories, using the geometric attributes of the shape of places, facilitating the development of three-dimensional view of the architects, in particular for students of architecture. This article is part of the Project ＂Education of the Eye＂ which introduces the training of the eye as a strategy to understand the architectural forms characterizing the volumetric space （architectural, urban and landscaping）, through the polyhedra and their relationships. It is linked to the research line Teaching of Architecture Graduate Program in Architecture -- PROARQ-FAU/UFRJ. The investigation of the way in this direction, interacts with the knowledge produced by the groups SEL-RJ -- Research Group on Systems of Open Spaces in Rio de Janeiro, ProLUGAR -- Design and Quality of Place and EAG-Education-Environment Group.展开更多
We investigate rigidity problems for odd-dimensional compact submanifolds.We show that if Mn（n 5） is an odd-dimensional compact submanifold with parallel mean curvature in Sn＋p,and if RicM ＆gt;（n- 2-1n）（1 ＋ H2...We investigate rigidity problems for odd-dimensional compact submanifolds.We show that if Mn（n 5） is an odd-dimensional compact submanifold with parallel mean curvature in Sn＋p,and if RicM ＆gt;（n- 2-1n）（1 ＋ H2） and H ＆lt; δn,where δn is an explicit positive constant depending only on n,then M is a totally umbilical sphere.Here H is the mean curvature of M.Moreover,we prove that if Mn（n 5） is an odd-dimensional compact submanifold in the space form Fn＋p（c） with c 0,and if RicM ＆gt;（n-2-εn）（c＋H2）,where εn is an explicit positive constant depending only on n,then M is homeomorphic to a sphere.展开更多
文摘The author knows how to interpret the city is a complex task that met the physical form and also all the images that are transmitted by the sensations. However the aim of this paper is to demonstrate the importance of studying the morphological categories, using the geometric attributes of the shape of places, facilitating the development of three-dimensional view of the architects, in particular for students of architecture. This article is part of the Project ＂Education of the Eye＂ which introduces the training of the eye as a strategy to understand the architectural forms characterizing the volumetric space （architectural, urban and landscaping）, through the polyhedra and their relationships. It is linked to the research line Teaching of Architecture Graduate Program in Architecture -- PROARQ-FAU/UFRJ. The investigation of the way in this direction, interacts with the knowledge produced by the groups SEL-RJ -- Research Group on Systems of Open Spaces in Rio de Janeiro, ProLUGAR -- Design and Quality of Place and EAG-Education-Environment Group.
基金supported by National Natural Science Foundation of China (Grant Nos.11071211,11371315 and 11301476)the Trans-Century Training Programme Foundation for Talents by the Ministry of Education of Chinathe China Postdoctoral Science Foundation (Grant No.2012M521156)
文摘We investigate rigidity problems for odd-dimensional compact submanifolds.We show that if Mn（n 5） is an odd-dimensional compact submanifold with parallel mean curvature in Sn＋p,and if RicM ＆gt;（n- 2-1n）（1 ＋ H2） and H ＆lt; δn,where δn is an explicit positive constant depending only on n,then M is a totally umbilical sphere.Here H is the mean curvature of M.Moreover,we prove that if Mn（n 5） is an odd-dimensional compact submanifold in the space form Fn＋p（c） with c 0,and if RicM ＆gt;（n-2-εn）（c＋H2）,where εn is an explicit positive constant depending only on n,then M is homeomorphic to a sphere.
