Results 1 to 10 of about 477 (38)

Basic inequalities for statistical submanifolds in Golden-like statistical manifolds

Open Mathematics, 2022
In this paper, we introduce and study Golden-like statistical manifolds. We obtain some basic inequalities for curvature invariants of statistical submanifolds in Golden-like statistical manifolds.
Lone Mohamd Saleem, Bahadir Oğuzhan, Park Choonkil, Hwang Inho   +3 more
doaj   +1 more source

Minimal Immersions of Kahler manifolds into Euclidean Spaces [PDF]

, 2003
It is proved here that a minimal isometric immersion of a Kähler-Einstein or homogeneous Kähler-manifold into an Euclidean space must be totally ...
Di Scala, Antonio Jose'
core   +1 more source

Totally Geodesic Submanifolds in Tangent Bundle with g - natural Metric [PDF]

, 2013
In the paper we investigate submanifolds in a tangent bundle endowed with g-natural metric G, defined by a vector field on a base manifold. We give a sufficient condition for a vector field on M to defined totally geodesic submanifold in (TM,G).
Ewert-Krzemieniewski, Stanisław
core   +1 more source

On submanifolds whose shape operator is unipotent [PDF]

, 2006
The object of this article is to characterize submanifolds of the Euclidean space whose shape operator is ...
Di Scala, Antonio Jose'
core   +1 more source

Weak helix submanifolds of euclidean spaces [PDF]

, 2009
It is shown that there exist nonstrong weak 2-helix surfaces of ...
A.J. Di Scala, Antonio J. Di Scala, F. Dillen, F. Dillen, F. John, J. Berndt, M. Ghomi, P. Cermelli   +7 more
core   +1 more source

A new construction of Lagrangians in the complex Euclidean plane in terms of planar curves [PDF]

, 2013
We introduce a new method to construct a large family of Lagrangian surfaces in complex Euclidean plane by means of two planar curves making use of their usual product as complex functions and integrating the Hermitian product of their position and ...
Ana, Ildefonso Castro, M. Lerma
core   +1 more source

Classification of contact structures associated with the CR-structure of the complex indicatrix

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017
By regarding the complex indicatrix as an embedded CR-hypersurface of the holomorphic tangent bundle in a fixed point, we analyze some aspects of the relations between its CR structure and the considered contact structure.
Popovici Elena
doaj   +1 more source

Theory of Submanifolds, Associativity Equations in 2D Topological Quantum Field Theories, and Frobenius Manifolds

, 2006
We prove that the associativity equations of two-dimensional topological quantum field theories are very natural reductions of the fundamental nonlinear equations of the theory of submanifolds in pseudo-Euclidean spaces and give a natural class of ...
B. Dubrovin, O. I. Mokhov, O. I. Mokhov
core   +2 more sources

The Clifford torus as a self-shrinker for the Lagrangian mean curvature flow

, 2012
We provide several rigidity results for the Clifford torus in the class of compact self-shrinkers for Lagrangian mean curvature flow.Comment: 10 ...
Abresch, Ana M. Lerma, Anciaux, Cao, Castro, Cheng, Cheng, Chern, Colding, Ding, Ding, Huisken, Ildefonso Castro, Lawson, Lawson, Le, Lee, Li, Nemirovski, Neves, Neves, Shevchishin, Simons, Smoczyk, Urbano   +24 more
core   +1 more source

Purity and hybridness of two tensors on a real hypersurface in complex projective space

Open Mathematics
On a real hypersurface MM in complex projective space, we can define two tensor fields of type (1, 2), AF(k){A}_{F}^{\left(k)} and AT(k){A}_{T}^{\left(k)}, associated with the shape operator AA of the real hypersurface, for any nonnull real number kk ...
Pérez Juan de Dios, Pérez-López David
doaj   +1 more source