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Displaying 181 – 192 of 192

From the Fermi-Walker to the Cartan connection

Lafuente, Javier, Salvador, Beatriz (2000)

Proceedings of the 19th Winter School "Geometry and Physics"

Let $M$ be a $C^{\infty}$ -manifold with a Riemannian conformal structure $C$ . Given a regular curve $γ$ on $M$ , the authors define a linear operator on the space of (differentiable) vector fields along $γ$ , only depending on $C$ , called the Fermi-Walker connection along $γ$ . Then, the authors introduce the concept of Fermi-Walker parallel vector field along $γ$ , proving that such vector fields set up a linear space isomorphic to the tangent space at a point of $γ$ . This allows to consider the Fermi-Walker horizontal lift of...

Fueter regular mappings and harmonicity

Wiesław Królikowski (1996)

Annales Polonici Mathematici

It is shown that Fueter regular functions appear in connection with the Eells condition for harmonicity. New conditions for mappings from 4-dimensional conformally flat manifolds to be harmonic are obtained.

Functional inequalities and manifolds with nonnegative weighted Ricci curvature

Jing Mao (2020)

Czechoslovak Mathematical Journal

We show that $n$ -dimensional $(n ⩾ 2)$ complete and noncompact metric measure spaces with nonnegative weighted Ricci curvature in which some Caffarelli-Kohn-Nirenberg type inequality holds are isometric to the model metric measure $n$ -space (i.e. the Euclidean metric $n$ -space). We also show that the Euclidean metric spaces are the only complete and noncompact metric measure spaces of nonnegative weighted Ricci curvature satisfying some prescribed Sobolev type inequality.

Functionals with linear growth in the calculus of variations. I.

Mariano Giaquinta, Giuseppe Modica, Jiří Souček (1979)

Commentationes Mathematicae Universitatis Carolinae

Functionals with linear growth in the calculus of variations. II.

Mariano Giaquinta, Giuseppe Modica, Jiří Souček (1979)

Commentationes Mathematicae Universitatis Carolinae

Functions with prescribed singularities

Giovanni Alberti, S. Baldo, G. Orlandi (2003)

Journal of the European Mathematical Society

The distributional $k$ -dimensional Jacobian of a map $u$ in the Sobolev space $W^{1, k - 1}$ which takes values in the sphere $S^{k - 1}$ can be viewed as the boundary of a rectifiable current of codimension $k$ carried by (part of) the singularity of $u$ which is topologically relevant. The main purpose of this paper is to investigate the range of the Jacobian operator; in particular, we show that any boundary $M$ of codimension $k$ can be realized as Jacobian of a Sobolev map valued in $S^{k - 1}$ . In case $M$ is polyhedral, the map we construct...

Fundamental domains in Teichmüller space.

McCarthy, John, Papadopoulos, Athanase (1996)

Annales Academiae Scientiarum Fennicae. Series A I. Mathematica

Fundamental group of $Symp (M, ω)$ with no circle action

Jarek Kędra (2009)

Archivum Mathematicum

We show that $π_{1} (Symp (M, ω))$ can be nontrivial for $M$ that does not admit any symplectic circle action.

Fundamental Groups of Homogeneous Space Forms.

R.S. Kulkarni (1978)

Mathematische Annalen

Fundamental solutions of differential operators on homogeneous manifolds of negative curvature and related Riesz transforms

Ewa Damek (1997)

Colloquium Mathematicae

Further remarks on extended umbral calculus

Kwaśniewski, A. K., Grądzka, E. (2002)

Proceedings of the 21st Winter School "Geometry and Physics"

The paper deals with extensions of the finite operator calculus of G.-C. Rota called $ψ$ -extensions which give a framework for corresponding quantum group investigations. This also covers the instance of the well-known $q$ -analogue of umbral calculus. The article also contains glossaries of the most important terms and notations used by Ward, Viskov, Markowsky and Roman on one side and the Rota-oriented notations on the other side.

Future directions of research in geometry: a summary of the panel discussion at the 2007 midwest geometry conference.

Peterson, Lawrence J. (ed.) (2007)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

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