2003, Translations of mathematical monographs, ISBN 9780821834794, Volume 221, x, 142

Book

Tohoku Mathematical Journal, ISSN 0040-8735, 09/2018, Volume 70, Issue 3, pp. 475 - 485

Journal Article

Bulletin of the Brazilian Mathematical Society, ISSN 1678-7544, 12/2018, Volume 49, Issue 4, pp. 775 - 788

The purpose of this article is to determine explicitly the complete surfaces with parallel mean curvature vector, both in the complex projective plane and the...

Complex space-form | Jacobi elliptic function | Parallel mean curvature surface | Mean curvature vector | MATHEMATICS | VECTOR

Complex space-form | Jacobi elliptic function | Parallel mean curvature surface | Mean curvature vector | MATHEMATICS | VECTOR

Journal Article

American Journal of Mathematics, ISSN 0002-9327, 2016, Volume 138, Issue 2, pp. 395 - 402

We give a condition under which the findings of the paper by Kenmotsu and Zhou [Amer. J. Math. 122 (2000), no. 2, 295-317] work well and determine the...

Minimal surfaces | Curvature | Complex manifolds | MATHEMATICS | MINIMAL-SURFACES | Mathematical functions | Differential equations

Minimal surfaces | Curvature | Complex manifolds | MATHEMATICS | MINIMAL-SURFACES | Mathematical functions | Differential equations

Journal Article

Tohoku Mathematical Journal, ISSN 0040-8735, 09/2018, Volume 70, Issue 3, pp. 475 - 485

We explicitly determine tori that have a parallel mean curvature vector, both in the complex projective plane and the complex hyperbolic plane.

Parallel mean curvature vector | Constant mean curvature surfaces in complex space forms | MATHEMATICS | constant mean curvature surfaces in complex space forms | MINIMAL-SURFACES | TOTALLY-REAL SUBMANIFOLDS | TERMS | CLASSIFICATION | X R | VECTOR

Parallel mean curvature vector | Constant mean curvature surfaces in complex space forms | MATHEMATICS | constant mean curvature surfaces in complex space forms | MINIMAL-SURFACES | TOTALLY-REAL SUBMANIFOLDS | TERMS | CLASSIFICATION | X R | VECTOR

Journal Article

Kodai Mathematical Journal, ISSN 0386-5991, 2015, Volume 38, Issue 3, pp. 687 - 689

We describe a condition under which the claims in the paper cited above hold.

complex space form | Parallel mean curvature vector

complex space form | Parallel mean curvature vector

Journal Article

Journal of the Mathematical Society of Japan, ISSN 0025-5645, 2015, Volume 67, Issue 3, pp. 1077 - 1108

We prove that for a given continuous function H(s), (-infinity < s < infinity), there exists a globally defined generating curve of a rotational hypersurface...

Mean curvature | Generalized rotational hypersurfaces | MATHEMATICS | generalized rotational hypersurfaces | THEOREM | mean curvature

Mean curvature | Generalized rotational hypersurfaces | MATHEMATICS | generalized rotational hypersurfaces | THEOREM | mean curvature

Journal Article

Kodai Mathematical Journal, ISSN 0386-5991, 11/2015, Volume 38, Issue 3, pp. 687 - 689

We describe a condition under which the claims in the paper cited above hold.

Complex space form | Parallel mean curvature vector | MATHEMATICS | complex space form | COMPLEX-SPACE FORMS

Complex space form | Parallel mean curvature vector | MATHEMATICS | complex space form | COMPLEX-SPACE FORMS

Journal Article

12/2017

The purpose of this article is to determine explicitly the complete surfaces with parallel mean curvature vector, both in the complex projective plane and the...

Mathematics - Differential Geometry

Mathematics - Differential Geometry

Journal Article

03/2016

We explicitly determine tori that have a parallel mean curvature vector, both in the complex projective plane and the complex hyperbolic plane

Mathematics - Differential Geometry

Mathematics - Differential Geometry

Journal Article

1984, Lecture Notes in Mathematics, ISBN 3662201801, Volume 1090, VIII, 136

eBook

Annals of Global Analysis and Geometry, ISSN 0232-704X, 5/2008, Volume 33, Issue 3, pp. 245 - 252

In 1841, Delaunay classified surfaces of revolution with constant mean curvature in the Euclidean three space. As a byproduct of his result, one obtains: A...

Geometry | Primary 53C42 | Statistics for Business/Economics/Mathematical Finance/Insurance | Constant mean curvature | Mathematical and Computational Physics | Analysis | Periodicity | Mathematics | Group Theory and Generalizations | Secondary 53C40 | Delaunay hypersurfaces | MATHEMATICS | constant mean curvature | periodicity | Studies | Euclidean space | Topological manifolds | Mathematical analysis

Geometry | Primary 53C42 | Statistics for Business/Economics/Mathematical Finance/Insurance | Constant mean curvature | Mathematical and Computational Physics | Analysis | Periodicity | Mathematics | Group Theory and Generalizations | Secondary 53C40 | Delaunay hypersurfaces | MATHEMATICS | constant mean curvature | periodicity | Studies | Euclidean space | Topological manifolds | Mathematical analysis

Journal Article

Osaka Journal of Mathematics, ISSN 0030-6126, 09/2003, Volume 40, Issue 3, pp. 687 - 696

Journal Article

American Journal of Mathematics, ISSN 0002-9327, 4/2000, Volume 122, Issue 2, pp. 295 - 317

In this paper we find new surfaces with parallel mean curvature vectors in two-dimensional complex space forms that are not of constant Kähler angles and then...

Mathematical theorems | Geometric planes | Differential equations | Sine function | Mathematical constants | Mathematical vectors | Mathematical surfaces | Mathematics | Cots | Curvature | Curves on surfaces | Kählerian structures | Surfaces, Deformation of | MATHEMATICS | MINIMAL-SURFACES

Mathematical theorems | Geometric planes | Differential equations | Sine function | Mathematical constants | Mathematical vectors | Mathematical surfaces | Mathematics | Cots | Curvature | Curves on surfaces | Kählerian structures | Surfaces, Deformation of | MATHEMATICS | MINIMAL-SURFACES

Journal Article

Springer Proceedings in Mathematics and Statistics, ISSN 2194-1009, 2014, Volume 106, pp. 13 - 19

Conference Proceeding

Differential Geometry and its Applications, ISSN 0926-2245, 2004, Volume 21, Issue 1, pp. 55 - 63

We construct non-trivial examples of compact C -manifolds by considering torus bundles over a Kähler manifold. Then, we prove that the projection of the bundle...

f-structures | Energy of maps | Harmonic maps

f-structures | Energy of maps | Harmonic maps

Journal Article

07/2013

We prove that any piece of a rotational hypersurface with prescribed mean curvature function in a Euclidean space can be uniquely extended infinitely, which...

Mathematics - Differential Geometry

Mathematics - Differential Geometry

Journal Article

Journal fur die Reine und Angewandte Mathematik, ISSN 0075-4102, 2000, Volume 523, pp. 69 - 101

In this paper we prove that the Kahler angle of minimal surfaces of constant Gaussian curvature in two-dimensional complex space forms must be constant. This...

CPN | MATHEMATICS | IMMERSIONS | TORI

CPN | MATHEMATICS | IMMERSIONS | TORI

Journal Article

2007, ISBN 3540138730, 138

eBook

Differential Geometry and its Application, ISSN 0926-2245, 2004, Volume 21, Issue 1, pp. 55 - 63

We construct non-trivial examples of compact C-manifolds by considering torus bundles over a Kähler manifold. Then, we prove that the projection of the bundle...

f-structures | Energy of maps | Harmonic maps | MATHEMATICS | MATHEMATICS, APPLIED | harmonic maps | energy of maps | f -structures

f-structures | Energy of maps | Harmonic maps | MATHEMATICS | MATHEMATICS, APPLIED | harmonic maps | energy of maps | f -structures

Journal Article

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