On the intrinsic geometry of a unit vector field

Yampolsky, Alexander L. Yampolsky, Alexander L.

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Totally real surfaces in $ℂ P^{2}$ with parallel mean curvature vector.

Al-Gwaiz, M.A., Deshmukh, Sharief (1992)

International Journal of Mathematics and Mathematical Sciences

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A pointwise inequality in submanifold theory

P. J. De Smet, F. Dillen, Leopold C. A. Verstraelen, L. Vrancken (1999)

Archivum Mathematicum

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We obtain a pointwise inequality valid for all submanifolds $M^{n}$ of all real space forms $N^{n + 2} (c)$ with $n \geq 2$ and with codimension two, relating its main scalar invariants, namely, its scalar curvature from the intrinsic geometry of $M^{n}$ , and its squared mean curvature and its scalar normal curvature from the extrinsic geometry of $M^{n}$ in $N^{m} (c)$ .

A note on constant geodesic curvature curves on surfaces

Taoniu Sun (2009)

Annales de l'I.H.P. Analyse non linéaire

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Displaying similar documents to “On the intrinsic geometry of a unit vector field”

Totally real surfaces in ℂ P 2 with parallel mean curvature vector.

A pointwise inequality in submanifold theory

A note on constant geodesic curvature curves on surfaces

Totally real surfaces in $ℂ P^{2}$ with parallel mean curvature vector.