Results 1 to 10 of about 475 (36)

Complete classification of surfaces with a canonical principal direction in the Euclidean space $$ \mathbb{E} $$ 3

Open Mathematics, 2011
In the present paper we classify all surfaces in $\E^3$ with a canonical principal direction. Examples of these type of surfaces are constructed. We prove that the only minimal surface with a canonical principal direction in the Euclidean space ${\mathbb{
Munteanu Marian, Nistor Ana
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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
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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
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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

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
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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'
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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
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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
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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
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