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References
T.F. Banchoff, The two-piece-property and tight n-manifolds with boundary, Trans.Amer.Math.Soc. 161 (1971), 259–267.
B.Y. Chen, On the total absolute curvature of manifolds immersed in Riemannian manifolds. III, Kodai Math.Sem.Rep. 22 (1970), 385–400.
S.S. Chern & R. Lashof, On the total curvature of immersed manifolds. I, Amer.J. Math. 79 (1957), 306–318.
N. Grossman, Relative Chern-Lashof theorems, J.Differential Geometry 7 (1972), 607–614.
P. Hartman and L. Nirenberg, On spherical image maps whose Jacobian do not change sign, Amer.J.Math. 81 (1959), 901–920.
N. Kuiper, Morse relations for curvature and tightness, in Proceedings of Liverpool Singularities Symposium II, Springer-Verlag, Berlin, 1971, 77–89.
J. Milnor, Lectures on Morse theory, Ann. Math. Studies 51, Princeton University Press, Princeton, N.J., 1963.
L. Rodriguez, The two-piece-property and convexity for surfaces with boundary, J. Differential Geometry 11(1976), 235–250.
R. Sacksteder, On hypersurfaces with non-negative sectional curvatures, Amer.J.Math. 82 (1960), 609–630.
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Rodríguez, L.L. (1977). Convexity and tightness of manifolds with boundary. In: Palis, J., do Carmo, M. (eds) Geometry and Topology. Lecture Notes in Mathematics, vol 597. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0085374
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DOI: https://doi.org/10.1007/BFb0085374
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