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Let $f : M \to G (m, n)$ be a harmonic map from surface into complex Grassmann manifold. In this paper, some sufficient conditions for the harmonic sequence generated by $f$ to have degenerate $\partial^{'}$ -transform or $\partial^{''}$ -transform are given.

On the Eigenvalues of the Shape Operator of an Isometric Immersion into a Space of Constant Curvature.

Helmut Reckziegel (1979)

Mathematische Annalen

On the Elliptic Equation ...u + K(x)e2u = 0 and Conformal Metrics with Prescribed Gaussian Curvatures..

Wei-Ming Ni (1982)

Inventiones mathematicae

On the existence of area-minimizing surfaces with free boundary.

Rugang Ye (1991)

Mathematische Zeitschrift

On the existence of convex hypersurfaces with prescribed mean curvature

Kaising Tso (1989)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

On the existence of minimal hyperspheres in compact symmetric spaces

Wu-teh Hsiang, Wu-yi Hsiang, Per Tomter (1988)

Annales scientifiques de l'École Normale Supérieure

On the first eigenvalue of spacelike hypersurfaces in Lorentzian space

Bing Ye Wu (2006)

Archivum Mathematicum

In this paper we obtain a lower bound for the first Dirichlet eigenvalue of complete spacelike hypersurfaces in Lorentzian space in terms of mean curvature and the square length of the second fundamental form. This estimate is sharp for totally umbilical hyperbolic spaces in Lorentzian space. We also get a sufficient condition for spacelike hypersurface to have zero first eigenvalue.

On the Gauss curvature of maximal surfaces in the 3-dimensional Lorentz-Minkowski space.

Alfonso Romero, F. J.M. Estudillo (1994)

Commentarii mathematici Helvetici

On the Gauss image of a spacelike hypersurface with constant mean curvature in Minkowski space.

Y.L. Xin (1991)

Commentarii mathematici Helvetici

On the Gauss map of B-scrolls in $3$ -dimensional Lorentzian space forms

Angel Ferrández, Pascual Lucas (2000)

Czechoslovak Mathematical Journal

In this note we show that $B$ -scrolls over null curves in a 3-dimensional Lorentzian space form ${\bar{M}}_{1}^{3} (c)$ are characterized as the only ruled surfaces with null rulings whose Gauss maps $G$ satisfy the condition $Δ G = Λ G$ , $Λ X (\bar{M}) \to X (\bar{M})$ being a parallel endomorphism of $X (\bar{M})$ .

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Displaying 41 – 60 of 86

On the Chern Forms of Kaehler Hypersurfaces in Complex Space Forms.

On the Construction of Codimension Two Minimal Immersions of Exotic Spheres into Euclidean Spheres. II.

On the construction of codimension two minimal immersions of exotic spheres into Euclidean spheres.

On the construction of constant mean curvature imbeddings of exotic and/or knotted spheres into Sn (1).

On the Darboux equation.

On the degeneration of harmonic sequences from surfaces into complex Grassmann manifolds

On the Eigenvalues of the Shape Operator of an Isometric Immersion into a Space of Constant Curvature.

On the Elliptic Equation ...u + K(x)e2u = 0 and Conformal Metrics with Prescribed Gaussian Curvatures..

On the existence of area-minimizing surfaces with free boundary.

On the existence of convex hypersurfaces with prescribed mean curvature

On the existence of minimal hyperspheres in compact symmetric spaces

On the first eigenvalue of spacelike hypersurfaces in Lorentzian space

On the Gauss curvature of maximal surfaces in the 3-dimensional Lorentz-Minkowski space.

On the Gauss image of a spacelike hypersurface with constant mean curvature in Minkowski space.

On the Gauss map of B-scrolls in $3$ -dimensional Lorentzian space forms

On the Gauss map of complete surfaces of constant mean curvature in R3 and R4.

On the induced geometric object on submanifolds of homogeneous spaces

On the Instability of Minimal Submanifolds in Riemannian Manifolds of Positive Curvature.

On the Isotropy of Compact Minimal Surfaces in CPn.

On the Kähler angles of submanifolds.

Currently displaying 41 – 60 of 86