Topics in differential geometry associated with position vector fields on Euclidean submanifolds
Sign Up to like & getrecommendations! Published in 2017 at "Arab Journal of Mathematical Sciences"
DOI: 10.1016/j.ajmsc.2016.08.001
Abstract: Abstract The position vector field is the most elementary and natural geometric object on a Euclidean submanifold. The purpose of this article is to survey six research topics in differential geometry in which the position… read more here.
Keywords: topics differential; geometry; differential geometry; position vector ... See more keywords
Some topics in differential geometry of normed spaces
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DOI: 10.1515/advgeom-2020-0001
Abstract: Abstract For a surface immersed in a three-dimensional space endowed with a smooth norm instead of an inner product, one can define analogous concepts of curvature and metric. With such concepts in mind, various questions… read more here.
Keywords: geometry normed; topics differential; normed spaces; differential geometry ... See more keywords