A bridge principle for minimal and constant mean curvature submanifolds of RN.

N. Smale

Displaying similar documents to “A bridge principle for minimal and constant mean curvature submanifolds of RN.”

Curvature pinching for odd-dimensional minimal submanifolds in a sphere.

Li, Haizhong (1993)

Publications de l'Institut Mathématique. Nouvelle Série

Similarity:

Classification of complete minimal surfaces in R3 with total curvature 12... .

C.J. Costa (1991)

Inventiones mathematicae

Similarity:

Minimal Total Absolute Curvature for Immersions

N.H. KUIPER (1970)

Inventiones mathematicae

Similarity:

On total curvature of immersions and minimal submanifolds of spheres

Giovanni Rotondaro (1993)

Commentationes Mathematicae Universitatis Carolinae

Similarity:

For closed immersed submanifolds of Euclidean spaces, we prove that ${\int | μ |}^{2} d V \geq V / R^{2}$ , where $μ$ is the mean curvature field, $V$ the volume of the given submanifold and $R$ is the radius of the smallest sphere enclosing the submanifold. Moreover, we prove that the equality holds only for minimal submanifolds of this sphere.

Slant submanifolds with prescribed scalar curvature into cosymplectic space form.

Gupta, Ram Shankar, Haider, S.M.Khrusheed, Sharfuddin, A. (2006)

Balkan Journal of Geometry and its Applications (BJGA)

Similarity:

Submanifolds of Euclidean space with parallel mean curvature vector.

Ghazal, Tahsin, Deshmukh, Sharief (1991)

International Journal of Mathematics and Mathematical Sciences

Similarity:

Curvature estimate for the volume growth of globally minimal submanifolds.

Le Hong Van (1993)

Mathematische Annalen

Similarity:

Null 2-type space-like submanifolds of $E_{t}^{5}$ with normalized parallel mean curvature vector.

Dursun, Uǧur (2006)

Balkan Journal of Geometry and its Applications (BJGA)

Similarity: