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On circles and spheres in geometry

Year 1992, Volume: 41 , 0 - 0, 01.01.1992

C. Murathan

https://doi.org/10.1501/Commua1_0000000496

Abstract

In [1] the main result (Teorem 2) which States that “a submanifold Mn of a RiemanSian maniforld Mn is an extrinsic sphere (i.e. the submanifold which is umbilic and has parallel mean curvature) iff every circle in Mn is a circle in Mm must have some additional hypothesis.
We pointed out these hypothesis just the special case of Mm — IRm

Keywords

geometry spheres circles

References

  • Communications, Series A1:Mathematics and Statistics

Year 1992, Volume: 41 , 0 - 0, 01.01.1992

C. Murathan

https://doi.org/10.1501/Commua1_0000000496

Abstract

References

  • Communications, Series A1:Mathematics and Statistics
There are 1 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Research Articles
Authors

C. Murathan This is me

Publication Date January 1, 1992
Submission Date January 1, 1992
Published in Issue Year 1992 Volume: 41

Cite

APA Murathan, C. (1992). On circles and spheres in geometry. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 41. https://doi.org/10.1501/Commua1_0000000496
AMA Murathan C. On circles and spheres in geometry. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. January 1992;41. doi:10.1501/Commua1_0000000496
Chicago Murathan, C. “On Circles and Spheres in Geometry”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 41, January (January 1992). https://doi.org/10.1501/Commua1_0000000496.
EndNote Murathan C (January 1, 1992) On circles and spheres in geometry. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 41
IEEE C. Murathan, “On circles and spheres in geometry”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 41, 1992, doi: 10.1501/Commua1_0000000496.
ISNAD Murathan, C. “On Circles and Spheres in Geometry”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 41 (January 1992). https://doi.org/10.1501/Commua1_0000000496.
JAMA Murathan C. On circles and spheres in geometry. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 1992;41. doi:10.1501/Commua1_0000000496.
MLA Murathan, C. “On Circles and Spheres in Geometry”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 41, 1992, doi:10.1501/Commua1_0000000496.
Vancouver Murathan C. On circles and spheres in geometry. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 1992;41.

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics.

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