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Displaying 201 – 220 of 776

A limiting geometry for capillary surfaces

Robert Finn (1984)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

A Liouville type theorem for $p$ -harmonic functions on minimal submanifolds in $ℝ^{n + m}$

Yingbo Han, Shuxiang Feng (2013)

Matematički Vesnik

A local analytic splitting of the holonomy map on flat connections.

B. Fine, P. Kirk, E. Klassen (1994)

Mathematische Annalen

A local characterization of affine holomorphic immersions with an anti-complex and ∇-parallel shape operator

Maria Robaszewska (2002)

Annales Polonici Mathematici

We study the complex hypersurfaces $f : M^{(n)} \to ℂ^{n + 1}$ which together with their transversal bundles have the property that around any point of M there exists a local section of the transversal bundle inducing a ∇-parallel anti-complex shape operator S. We give a class of examples of such hypersurfaces with an arbitrary rank of S from 1 to [n/2] and show that every such hypersurface with positive type number and S ≠ 0 is locally of this kind, modulo an affine isomorphism of $ℂ^{n + 1}$ .

A local modification to monopole equations in 8-dimension.

Deǧirmenci, Nedim, Özdemir, Nülifer (2005)

APPS. Applied Sciences

A locally symmetric Kähler Einstein structure on the cotangent bundle of a space form.

Poroşniuc, Dumitru Daniel (2004)

Balkan Journal of Geometry and its Applications (BJGA)

A locally symmetric Kähler Einstein structure on the tangent bundle of a space form.

Oproiu, Vasile (1999)

Beiträge zur Algebra und Geometrie

A logarithmic Gauss curvature flow and the Minkowski problem

Kai-Seng Chou, Xu-Jia Wang (2000)

Annales de l'I.H.P. Analyse non linéaire

À l'ombre de Loewner

Marcel Berger (1972)

Annales scientifiques de l'École Normale Supérieure

A lossless reduction of geodesics on supermanifolds to non-graded differential geometry

Stéphane Garnier, Matthias Kalus (2014)

Archivum Mathematicum

Let $ℳ = (M, 𝒪_{ℳ})$ be a smooth supermanifold with connection $\nabla$ and Batchelor model $𝒪_{ℳ} ≅ Γ_{Λ E^{*}}$ . From $(ℳ, \nabla)$ we construct a connection on the total space of the vector bundle $E \to M$ . This reduction of $\nabla$ is well-defined independently of the isomorphism $𝒪_{ℳ} ≅ Γ_{Λ E^{*}}$ . It erases information, but however it turns out that the natural identification of supercurves in $ℳ$ (as maps from $ℝ^{1 | 1}$ to $ℳ$ ) with curves in $E$ restricts to a 1 to 1 correspondence on geodesics. This bijection is induced by a natural identification of initial conditions for geodesics...