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Displaying 41 – 60 of 467

The bounce problem, on n-dimensional Riemannian manifolds

Giuseppe Buttazzo, Danilo Percivale (1981)

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

In questo lavoro vengono generalizzati i risultati relativi al problema del rimbalzo unidimensionale studiato in [5]. Precisamente si considera un punto mobile su una varietà Riemanniana $V$ $n$ -dimensionale, soggetto all’azione di un potenziale variabile nel tempo e vincolato a restare in una parte $W$ di $V$ avente un bordo di classe $C^{3}$ contro cui il punto «rimbalza». Lo studio del problema richiede l’uso di metodi di $\Gamma$ -convergenza del tipo usato in [5], metodi che sembrano caratteristici per lo studio di problemi in cui può mancare l’unicità della soluzione o la sua dipendenza continua dai dati.

The boundary value Minkowski problem. The parametric case

V. I. Oliker (1982)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

The boundary value problem for Dirac-harmonic maps

Qun Chen, Jürgen Jost, Guofang Wang, Miaomiao Zhu (2013)

Journal of the European Mathematical Society

Dirac-harmonic maps are a mathematical version (with commuting variables only) of the solutions of the field equations of the non-linear supersymmetric sigma model of quantum field theory. We explain this structure, including the appropriate boundary conditions, in a geometric framework. The main results of our paper are concerned with the analytic regularity theory of such Dirac-harmonic maps. We study Dirac-harmonic maps from a Riemannian surface to an arbitrary compact Riemannian manifold. We...

The bounds for the squared norm of the second fundamental form of minimal submanifolds of $S^{n + p}$ .

Liu, Jiancheng, Zhang, Qiuyan (2007)

Balkan Journal of Geometry and its Applications (BJGA)

The Calabi functional on a ruled surface

Gábor Székelyhidi (2009)

Annales scientifiques de l'École Normale Supérieure

We study the Calabi functional on a ruled surface over a genus two curve. For polarizations which do not admit an extremal metric we describe the behavior of a minimizing sequence splitting the manifold into pieces. We also show that the Calabi flow starting from a metric with suitable symmetry gives such a minimizing sequence.

The Canonical Class and the $C^{\infty}$ Properties of Kähler Surfaces.

Brussee, Rogier (1996)

The New York Journal of Mathematics [electronic only]

The canonical constructions of connections on total spaces of fibred manifolds

Włodzimierz M. Mikulski (2024)

Archivum Mathematicum

We classify classical linear connections $A (Γ, Λ, Θ)$ on the total space $Y$ of a fibred manifold $Y \to M$ induced in a natural way by the following three objects: a general connection $Γ$ in $Y \to M$ , a classical linear connection $Λ$ on $M$ and a linear connection $Θ$ in the vertical bundle $V Y \to Y$ . The main result says that if $\dim (M) \geq 3$ and $\dim (Y) - \dim (M) \geq 3$ then the natural operators $A$ under consideration form the $17$ dimensional affine space.

The Cartan model of the canonical vector bundles over the Grassmannian manifolds.

Jovanović, Božidar Žarko (2007)

Sibirskij Matematicheskij Zhurnal

The Cauchy problem for Lorentz metrics with prescribed Ricci curvature

Dennis M. DeTurck (1983)

Compositio Mathematica

The Chern connection and curvature of the tangent bundle of an almost complex manifold. (La connexion et la courbure de Chern du fibré tangent d'une variété presque complexe.)

Pali, Nefton (2005)

The New York Journal of Mathematics [electronic only]

The Chern numbers of holomorphic vector bundles and formally holomorphic connections of complex vector bundles over almost complex manifolds.

L. Vanhecke, A. Gray, M. Barros, A.M. Naveira (1980)

Journal für die reine und angewandte Mathematik

Currently displaying 41 – 60 of 467

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Displaying 41 – 60 of 467

The bounce problem, on n-dimensional Riemannian manifolds

The boundary value Minkowski problem. The parametric case

The boundary value problem for Dirac-harmonic maps

The bounds for the squared norm of the second fundamental form of minimal submanifolds of $S^{n + p}$ .

The Calabi functional on a ruled surface

The Canonical Class and the $C^{\infty}$ Properties of Kähler Surfaces.

The canonical constructions of connections on total spaces of fibred manifolds

The Cartan model of the canonical vector bundles over the Grassmannian manifolds.

The Cauchy problem for Lorentz metrics with prescribed Ricci curvature

The Chern connection and curvature of the tangent bundle of an almost complex manifold. (La connexion et la courbure de Chern du fibré tangent d'une variété presque complexe.)

The Chern numbers of holomorphic vector bundles and formally holomorphic connections of complex vector bundles over almost complex manifolds.

The class ... is not stable by small deformations.

The classification of 3-dimensional locally strongly convex homogeneous affine hypersurfaces.

The classification of 4-dimensional Kähler manifolds with small eigenvalue of the Dirac operator.

The classification of Lie algebras with invariant cones.

The Classification of ...-symmetric Sasakian Manifolds.

The Closed Geodesics of a Special Manifold.

The cohomology groups $H^{1} (ℙ^{3} - ℙ^{1}, 𝒪 (m))$

The collar theorem and examples.

The concept of cutting vectors for vector systems in the Euclidean plane.

Currently displaying 41 – 60 of 467