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$f$ -biminimal maps between Riemannian manifolds

Yan Zhao, Ximin Liu (2019)

Czechoslovak Mathematical Journal

We give the definition of $f$ -biminimal submanifolds and derive the equation for $f$ -biminimal submanifolds. As an application, we give some examples of $f$ -biminimal manifolds. Finally, we consider $f$ -minimal hypersurfaces in the product space $ℝ^{n} \times 𝕊^{1} (a)$ and derive two rigidity theorems.

Families of congruent submanifolds

Sebastian Klein, Helmut Reckziegel (2005)

Banach Center Publications

Fenchel type theorems for submanifolds of Sn.

Harold Rosenberg, R. Langevin (1996)

Commentarii mathematici Helvetici

First eigenvalue of submanifolds in Euclidean space.

Cai, Kairen (2000)

International Journal of Mathematics and Mathematical Sciences

Flächen beschränkter mittlerer Krümmung in einer dreidimensionalen Riemannschen Mannigfaltigkeit.

Karlheinz Goldhorn (1973)

Manuscripta mathematica

Fredholm theory of holomorphic discs under the perturbation of boundary conditions.

Yong-Geun Oh (1996)

Mathematische Zeitschrift

Fueter regular mappings and harmonicity

Wiesław Królikowski (1996)

Annales Polonici Mathematici

It is shown that Fueter regular functions appear in connection with the Eells condition for harmonicity. New conditions for mappings from 4-dimensional conformally flat manifolds to be harmonic are obtained.