By a News Reporter-Staff News Editor at Journal of Mathematics -- A new study on Geometry is now available. According to news reporting from Beijing, People’s Republic of China, by VerticalNews journalists, research stated, “Wintgen ideal submanifolds in space forms are those ones attaining equality pointwise in the so-called DDVV inequality which relates the scalar curvature, the mean curvature and the scalar normal curvature.”
Financial supporters for this research include Fundamental Research Funds for Central Universities, National Natural Science Foundation of China.
The news correspondents obtained a quote from the research from the China University of Mining and Technology, “As conformal invariant objects, they are suitable to study in the framework of Mobius geometry. This paper continues our previous work in this program, showing that Wintgen ideal submanifolds can be divided into three classes: the reducible ones, the irreducible minimal ones in space forms (up to Mobius transformations), and the generic (irreducible) ones.”
According to the news reporters, the research concluded: “The reducible Wintgen ideal submanifolds have a specific low-dimensional integrable distribution, which allows us to get the most general reduction theorem, saying that they are Mobius equivalent to cones, cylinders, or rotational surfaces generated by minimal Wintgen ideal submanifolds in lower-dimensional space forms.”
For more information on this research see: Wintgen ideal submanifolds: reduction theorems and a coarse classification. Annals of Global Analysis and Geometry , 2018;53(3):377-403. Annals of Global Analysis and Geometry can be contacted at: Springer, Van Godewijckstraat 30, 3311 Gz Dordrecht, Netherlands. (Springer - www.springer.com; Annals of Global Analysis and Geometry - http://www.springerlink.com/content/0232-704x/)
Our news journalists report that additional information may be obtained by contacting Z.X. Xie, China Univ Min & Technol Beijing, Dept. of Math, Beijing 100083, People’s Republic of China. Additional authors for this research include T.Z. Li, X. Ma and C.P. Wang.
The direct object identifier (DOI) for that additional information is: https://doi.org/10.1007/s10455-017-9581-1. This DOI is a link to an online electronic document that is either free or for purchase, and can be your direct source for a journal article and its citation.
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CITATION: (2018-05-08), Study Results from China University of Mining and Technology Update Understanding of Geometry (Wintgen ideal submanifolds: reduction theorems and a coarse classification), Journal of Mathematics, 867, ISSN: 1945-8746, BUTTER® ID: 015644593
From the newsletter Journal of Mathematics.
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