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On a Computational Method for the Second Fundamental Tensor and its Application to Bifurcation Problems.

Werner C. Rheinboldt, P.J. Rabier (1990)

Numerische Mathematik

On applications of the Yano–Ako operator

A. Magden, Arif A. Salimov (2006)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

In this paper we consider a method by which a skew-symmetric tensor field of type (1,2) in $M_{n}$ can be extended to the tensor bundle $T_{q}^{0} (M_{n})$ $(q > 0)$ on the pure cross-section....

On density concomitants of the covariant curvature tensor in the two- and three-dimensional Riemann space

L. Bieszk, E. Stasiak (1972)

Annales Polonici Mathematici

On geometry of the third tangent bundle

Alena Vanžurová (1985)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

On Hermitian manifold with torsion.

Aruna Nigam (1979)

Revista Matemática Hispanoamericana

Analytic vector fields in a Hermitian manifold have been studied by various authors [3, 4, 6 & 7]. Boothby [2] and Goldberg [1] extended some of these results to Hermitian manifold with torsion. In this paper we define and study p-pseudo-analytic vector fields, which when p = 1, reduce to analytic vector fields as given in [1] and [2]. A necessary and sufficient condition for a vector field to be covariant (contravariant) p-pseudo-analytic has been obtained and their relationship with p-pseudo-harmonic...

On scalar concomitants of geometric objects and their transitive domains

M. Kucharzewski, S. Węgrzynowski (1972)

Colloquium Mathematicae

On tensor functions whose gradients have some skew-symmetries

Adriano Montanaro (1991)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

Let $V_{n}$ be a real inner product space of any dimension; and let $Q^{α_{1} \dots α_{v}} = {\overset{⌃}{Q}}^{α_{1} \dots α_{v}} (X_{β 1 \dots β_{τ}})$ be a $C^{2}$ -map relating any two tensor spaces on $V_{n}$ . We study the consequences imposed on the form of this function by the condition that its gradient should be skew-symmetric with respect to some pairs $(α_{μ}, β_{η})$ of indexes. Any such a condition is written as a system of linear partial differential equations, with constant coefficients, which is symmetric with respect to certain couples of independent variables. The solutions of these systems appear...

On the space-time permeated by a viscous, compressible, thermally conducting, self-gravitating fluid with infinite electrical conductivity and constant magnetic permeability

G. G. Asgekar (1979)

Annales de l'I.H.P. Physique théorique

On the structure of some irrotational vector fields.

Bârza, Ilie (2005)

General Mathematics