On circles and spheres in geometry

C. Murathan

doi:10.1501/Commua1_0000000496

EN

On circles and spheres in geometry

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

References

Communications, Series A1:Mathematics and Statistics

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

C. Murathan This is me
Türkiye

Publication Date

January 1, 1992

Submission Date

January 1, 1992

Acceptance Date

-

Published in Issue

Year 1992 Volume: 41

DOI

https://doi.org/10.1501/Commua1_0000000496

IZ

https://izlik.org/JA76ZN87MZ

Cite

RIS / Bibtex

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

1.Murathan C. On circles and spheres in geometry. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 1992;41. doi:10.1501/Commua1_0000000496

Chicago

Murathan, C. 1992. “On Circles and Spheres in Geometry”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 41 (January). 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

[1]C. Murathan, “On circles and spheres in geometry”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 41, Jan. 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 1, 1992). https://doi.org/10.1501/Commua1_0000000496.

JAMA

1.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, Jan. 1992, doi:10.1501/Commua1_0000000496.

Vancouver

1.C. Murathan. On circles and spheres in geometry. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 1992 Jan. 1;41. doi:10.1501/Commua1_0000000496