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supporting of subsets; convex subsets (hypersurfaces); conjugate (focal) points; horospheres

References:

[1] Beltagy M.: **Foot points and convexity in manifolds without conjugate points**. Bull. Calcutta Math. Soc. 82 (1990), 338-348. MR 1134214 | Zbl 0749.53033

[2] Bishop R.L., Crittenden R.J.: **Geometry of Manifolds**. Academic Press, New York, 1964. MR 0169148 | Zbl 0984.53001

[3] Bolton J.: **Tight immersion into manifolds without conjugate points**. Quart. J. Math. Oxford (2) 23 (1982), 159-267. MR 0657122

[4] Burago Yu.D., Zalgaller V.A.: **Sufficient criteria of convexity**. J. Soviet Math. (10) 3 (1978), 395-435. Zbl 0389.52001

[5] Eschenburg J.H.: **Horospheres and the stable part of the geodesic flow**. Math. Z. 153 (1977), 237-251. MR 0440605 | Zbl 0332.53028

[6] Goto M.S.: **Manifolds without focal points**. J. Diff. Geom. 13 (1978), 341-359. MR 0551564 | Zbl 0424.53021

[7] Kelly P.J., Weiss M.L.: **Geometry and convexity**. John Wiley & Sons, Inc., New York, 1979. MR 0534615 | Zbl 0409.52001