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In this paper we review some of the concepts and results of V. I. Arnol’d [1] for curves in $S^{2}$ and extend them to curves and surfaces in $S^{3}$ .

Some remarks on Dvoretzky's theorem on almost spherical sections of convex bodies

T. Figiel (1972)

Colloquium Mathematicae

Some remarks on $G$ -actions with sections

Elisa Gage Casini (2000)

Rendiconti del Seminario Matematico della Università di Padova

Some remarks on isotropic submanifolds.

Vrancken, Luc (1992)

Publications de l'Institut Mathématique. Nouvelle Série

Some remarks on Lie flows.

Miquel Llabrés, Agustí Reventós (1989)

Publicacions Matemàtiques

The first part of this paper is concerned with geometrical and cohomological properties of Lie flows on compact manifolds. Relations between these properties and the Euler class of the flow are given.The second part deals with 3-codimensional Lie flows. Using the classification of 3-dimensional Lie algebras we give cohomological obstructions for a compact manifold admits a Lie flow transversely modeled on a given Lie algebra.

Some remarks on metric semisymmetric connections. (Quelques remarques sur les connexions semi-symétriques métriques.)

Nicolescu, Liviu, Oprea, Teodor Vasile (2005)

Balkan Journal of Geometry and its Applications (BJGA)

Some remarks on polynomial structures

Alena Vanžurová (1996)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

Some remarks on positive scalar and Gauss-Kronecker curvature hypersurfaces of $ℝ^{n + 1}$ and $ℍ^{n + 1}$

Barbara Nelli, Harold Rosenberg (1997)

Annales de l'institut Fourier

We consider graphs of positive scalar or Gauss-Kronecker curvature over a punctured disk in Euclidean and hyperbolic $n$ -dimensional space and we obtain removable singularities theorems.

Some remarks on quaternion-Hermitian manifolds

Andrew Swann (1997)

Archivum Mathematicum

Nearly-quaternionic Kähler manifolds of dimension at least $8$ are shown to be quaternionic Kähler. Restrictions on the covariant derivative of the fundamental four-form of a semi-quaternionic Kähler are also found.

In this note, we are concerned with the Kozlowski-Simon conjecture on ovaloids and prove that it is correct under additional conditions.

Some Remarks on the Nonorientable Surfaces

I. Barza, D. Ghisa, Stere Ianus (1998)

Publications de l'Institut Mathématique

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Some recent developments in the theory of properly embedded minimal surfaces in $ℝ^{3}$

Some regularity theorems in riemannian geometry

Some remarkable properties of $H$ -graphs.

Some Remarks on a Class of Submanifolds in Space Forms of Non-Negative Curvature.

Some remarks on almost Kenmotsu manifolds.

Some remarks on conformally symmetric Riemannian spaces

Some remarks on $d$ -webs of complex surfaces, and a problem posed by D. Cerveau. (Quelques remarques sur les $d$ -webs des surfaces complexes et un problème proposé par D. Cerveau.)

Some remarks on duality in $S^{3}$