التفاصيل البيبلوغرافية
| العنوان: |
Geometry of surfaces in R5 through projections and normal sections. |
| المؤلفون: |
Deolindo-Silva, J. L., Sinha, R. Oset |
| المصدر: |
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales / RACSAM; Apr2021, Vol. 115 Issue 2, p1-19, 19p |
| مستخلص: |
We study the geometry of surfaces in R 5 by relating it to the geometry of regular and singular surfaces in R 4 obtained by orthogonal projections. In particular, we obtain relations between asymptotic directions, which are not second order geometry for surfaces in R 5 but are in R 4 . We also relate the umbilic curvatures of each type of surface and their contact with spheres. We then consider the surfaces as normal sections of 3-manifolds in R 6 and again relate asymptotic directions and contact with spheres by defining an appropriate umbilic curvature for 3-manifolds. [ABSTRACT FROM AUTHOR] |
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| قاعدة البيانات: |
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