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Journal Article
Taiwanese Journal of Mathematics, ISSN 1027-5487, 4/2017, Volume 21, Issue 2, pp. 283 - 304
The notion of an ideal submanifold was introduced by Chen at the end of the last century. A survey of recent results in this area can be found in his book [9].... 
Journal Article
Publications de l'Institut Mathematique, ISSN 0350-1302, 2018, Volume 103, Issue 117, pp. 147 - 158
Journal Article
Mediterranean Journal of Mathematics, ISSN 1660-5446, 11/2015, Volume 12, Issue 4, pp. 1429 - 1449
It is well known that the sphere S 6(1) admits an almost complex structure J, constructed using the Cayley algebra, which is nearly Kähler. Let M be a... 
Primary 53B20 | nearly Kähler six-sphere | Minimal submanifold | 53B25 | Secondary 53B21 | Mathematics, general | linearly full | Mathematics | {\mathcal D}$$ D -geodesic submanifolds | CR submanifold | D-geodesic submanifolds
Journal Article
International Journal of Mathematics, ISSN 0129-167X, 08/2016, Volume 27, Issue 9, p. 1650074
We study affine hypersurfaces M , which have isotropic difference tensor. Note that, any surface always has isotropic difference tensor. In case that the... 
affine homogeneous | isotropic difference tensor | Affine differential geometry | Blaschke hypersurface
Journal Article
Annali di Matematica Pura ed Applicata, ISSN 0373-3114, 02/2019, Volume 198, Issue 1, pp. 227 - 242
Journal Article
Journal of Geometry, ISSN 0047-2468, 4/2017, Volume 108, Issue 1, pp. 119 - 147
We study four-dimensional locally strongly convex, locally homogeneous, hypersurfaces whose affine shape operator has two distinct principal curvatures. In... 
Geometry | Mathematics | affine homogeneous | 53A15 | Affine differential geometry | Blaschke hypersurface
Journal Article
Mediterranean Journal of Mathematics, ISSN 1660-5446, 11/2015, Volume 12, Issue 4, p. 1429
It is well known that the sphere S .sup.6(1) admits an almost complex structure J, constructed using the Cayley algebra, which is nearly Kahler. Let M be a... 
Algebra
Journal Article
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, ISSN 0308-2105, 06/2019, Volume 149, Issue 3, pp. 655 - 689
AbstractWe study non-totally geodesic Lagrangian submanifolds of the nearly Kähler 3 × 3 for which the projection on the first component is nowhere of maximal... 
Journal Article
Annals of Global Analysis and Geometry, ISSN 0232-704X, 01/2018, Volume 53, Issue 1, pp. 39 - 66
In this paper, we investigate Lagrangian submanifolds in the homogeneous nearly Kähler S3×S3. We introduce and make use of a triplet of angle functions to... 
Toruses | Manifolds (mathematics) | Curvature
Journal Article
Annals of Global Analysis and Geometry, ISSN 0232-704X, 1/2018, Volume 53, Issue 1, pp. 39 - 66
Journal Article
The Journal of Geometric Analysis, ISSN 1050-6926, 12/2019
The Journal of Geometric Analysis, 2019 In this paper we consider minimal Lagrangian submanifolds in $n$-dimensional complex space forms. More precisely, we... 
Mathematics - Differential Geometry
Journal Article
Annals of Global Analysis and Geometry, ISSN 0232-704X, 9/2018, Volume 54, Issue 2, pp. 173 - 185
We present classifications of totally geodesic and totally umbilical Legendrian submanifolds of $$(\kappa ,\mu )$$ (κ,μ) -spaces with Boeckx invariant $$I \le... 
(\kappa , \mu )$$ ( κ , μ ) -space | 53C40 | Mathematical Physics | Totally umbilical | Mathematics | 53C15 | 53C25 | Geometry | Legendrian submanifold | Totally geodesic | Analysis | Global Analysis and Analysis on Manifolds | Differential Geometry | (κ, μ) -space | MATHEMATICS | (kappa, mu)-space | Resveratrol | Manifolds (mathematics) | Mathematics - Differential Geometry
Journal Article
Journal of Geometry and Physics, ISSN 0393-0440, 04/2018, Volume 127, pp. 1 - 13
We study Lagrangian submanifolds of the nearly Kähler with respect to their so called angle functions. We show that if all angle functions are constant, then... 
Immersions | Nearly Kähler manifolds | Lagrangian submanifolds | Local submanifolds
Journal Article
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