[1] Alexander, S., Local and global convexity in complete Riemannian manifolds. Pacific Journal of Mathematics 76(1978), no. 2 , 283-289.
[2] Balashov, M. V., An Analog of the Krein-Mil’man Theorem for Strongly Convex Hulls in Hilbert Space. Mathematical Notes 71(2002), no.
1-2 , 34-38.
[3] Beltagy, M., Sufficient conditions for convexity in manifolds without focal points. Comment. Math. Univ. Carolinae 34 (1993), 443-449.
[4] Beltagy, M., Local and global exposed points. Acta Mathematica Scientia 15(1995), no. 3 , 335-341.
[5] Beltagy, M., On starshaped sets. Bull. Malays. Math. Soc., II. Ser. 11(1988), no. 2 , 49–57.
[6] Burns, K., The flat strip theorem fails for surfaces with no conjugate points. Proceedings of the American Mathematical Society 115(1992), no.
1, 199-206.
[7] Eberlein, P., Geodesic flow in certain manifolds without conjugate points. Transactions of the American Mathematical Society 167 (1972),
151-170.
[8] Emmerich, P., Rigidity of complete Riemannian manifolds without conjugate points. Shaker Verlag Gmbh, Germa, 2013.
[9] Green, L. W., Surfaces without conjugate points. Transactions of the American Mathematical Society 76(1954), no. 3 , 529-546.
[10] Goto, M. S., Manifolds without focal points. Journal of Differential Geometry 13(1978), no. 3 , 341-359.
[11] Gulliver, R., On the variety of manifolds without conjugate points. Transactions of the American Mathematical Society 210 (1975), 185-201.
[12] Ivanov, S. and Vitali K. Manifolds without conjugate points and their fundamental groups. Journal of Differential Geometry 96(2014), no. 2 ,
223-240.
[13] Jaume, D. A. and Rubén, P., Conjugacy for closed convex sets. Contributions to Algebra and Geometry 46 (2005), no. 1, 131-149.
[14] Lay, S.R., Convex sets and their applications. Courier Corporation, 2007.
[15] Li, S. and Yicheng G., On the relations of a convex set and its profile. In Integral Geometry and Convexity pp. 199-211. 2006.
Convex and Starshaped Sets in Manifolds Without Conjugate Points
Year 2019,
Volume: 12 Issue: 2, 223 - 228, 03.10.2019
[1] Alexander, S., Local and global convexity in complete Riemannian manifolds. Pacific Journal of Mathematics 76(1978), no. 2 , 283-289.
[2] Balashov, M. V., An Analog of the Krein-Mil’man Theorem for Strongly Convex Hulls in Hilbert Space. Mathematical Notes 71(2002), no.
1-2 , 34-38.
[3] Beltagy, M., Sufficient conditions for convexity in manifolds without focal points. Comment. Math. Univ. Carolinae 34 (1993), 443-449.
[4] Beltagy, M., Local and global exposed points. Acta Mathematica Scientia 15(1995), no. 3 , 335-341.
[5] Beltagy, M., On starshaped sets. Bull. Malays. Math. Soc., II. Ser. 11(1988), no. 2 , 49–57.
[6] Burns, K., The flat strip theorem fails for surfaces with no conjugate points. Proceedings of the American Mathematical Society 115(1992), no.
1, 199-206.
[7] Eberlein, P., Geodesic flow in certain manifolds without conjugate points. Transactions of the American Mathematical Society 167 (1972),
151-170.
[8] Emmerich, P., Rigidity of complete Riemannian manifolds without conjugate points. Shaker Verlag Gmbh, Germa, 2013.
[9] Green, L. W., Surfaces without conjugate points. Transactions of the American Mathematical Society 76(1954), no. 3 , 529-546.
[10] Goto, M. S., Manifolds without focal points. Journal of Differential Geometry 13(1978), no. 3 , 341-359.
[11] Gulliver, R., On the variety of manifolds without conjugate points. Transactions of the American Mathematical Society 210 (1975), 185-201.
[12] Ivanov, S. and Vitali K. Manifolds without conjugate points and their fundamental groups. Journal of Differential Geometry 96(2014), no. 2 ,
223-240.
[13] Jaume, D. A. and Rubén, P., Conjugacy for closed convex sets. Contributions to Algebra and Geometry 46 (2005), no. 1, 131-149.
[14] Lay, S.R., Convex sets and their applications. Courier Corporation, 2007.
[15] Li, S. and Yicheng G., On the relations of a convex set and its profile. In Integral Geometry and Convexity pp. 199-211. 2006.
Shenawy, S. (2019). Convex and Starshaped Sets in Manifolds Without Conjugate Points. International Electronic Journal of Geometry, 12(2), 223-228. https://doi.org/10.36890/iejg.628087
AMA
Shenawy S. Convex and Starshaped Sets in Manifolds Without Conjugate Points. Int. Electron. J. Geom. October 2019;12(2):223-228. doi:10.36890/iejg.628087
Chicago
Shenawy, Sameh. “Convex and Starshaped Sets in Manifolds Without Conjugate Points”. International Electronic Journal of Geometry 12, no. 2 (October 2019): 223-28. https://doi.org/10.36890/iejg.628087.
EndNote
Shenawy S (October 1, 2019) Convex and Starshaped Sets in Manifolds Without Conjugate Points. International Electronic Journal of Geometry 12 2 223–228.
IEEE
S. Shenawy, “Convex and Starshaped Sets in Manifolds Without Conjugate Points”, Int. Electron. J. Geom., vol. 12, no. 2, pp. 223–228, 2019, doi: 10.36890/iejg.628087.
ISNAD
Shenawy, Sameh. “Convex and Starshaped Sets in Manifolds Without Conjugate Points”. International Electronic Journal of Geometry 12/2 (October 2019), 223-228. https://doi.org/10.36890/iejg.628087.
JAMA
Shenawy S. Convex and Starshaped Sets in Manifolds Without Conjugate Points. Int. Electron. J. Geom. 2019;12:223–228.
MLA
Shenawy, Sameh. “Convex and Starshaped Sets in Manifolds Without Conjugate Points”. International Electronic Journal of Geometry, vol. 12, no. 2, 2019, pp. 223-8, doi:10.36890/iejg.628087.
Vancouver
Shenawy S. Convex and Starshaped Sets in Manifolds Without Conjugate Points. Int. Electron. J. Geom. 2019;12(2):223-8.