An -isolation theorem for Yang-Mills fields over complete manifolds
An Obstruction to the Existence of Affine Structures.
An Obstruction to the Existence of Einstein Kähler Metrics.
An ODE approach to the equation ... U + Ku ... = 0, in Rn.
An Osserman-type condition on g.f.f-manifolds with Lorentz metric
A condition of Osserman type, called the φ-null Osserman condition, is introduced and studied in the context of Lorentz globally framed f-manifolds. An explicit example shows the naturality of this condition in the setting of Lorentz 𝓢-manifolds. We prove that a Lorentz 𝓢-manifold with constant φ-sectional curvature is φ-null Osserman, extending a well-known result in the case of Lorentz Sasaki space forms. Then we state a characterization of a particular class of φ-null Osserman 𝓢-manifolds....
An Overview of the Proof of the Splitting Theorem in Spaces with Non-Negative Ricci Curvature
An upper bound for the first eigenvalue of the Dirac operator on compact spin manifolds.
An -regularity result for generalized harmonic maps into spheres.
Analyse précisée d'équations semi-linéaires elliptiques sur l'espace hyperbolique et application à la courbure scalaire conforme
Analysis in complex quaternions and its connections with mathematical physics
Analysis of a semidiscrete scheme for solving image smoothing equation of mean curvature flow type.
Analysis of total variation flow and its finite element approximations
We study the gradient flow for the total variation functional, which arises in image processing and geometric applications. We propose a variational inequality weak formulation for the gradient flow, and establish well-posedness of the problem by the energy method. The main idea of our approach is to exploit the relationship between the regularized gradient flow (characterized by a small positive parameter , and the minimal surface flow [21] and the prescribed mean curvature flow [16]. Since our...
Analysis of total variation flow and its finite element approximations
We study the gradient flow for the total variation functional, which arises in image processing and geometric applications. We propose a variational inequality weak formulation for the gradient flow, and establish well-posedness of the problem by the energy method. The main idea of our approach is to exploit the relationship between the regularized gradient flow (characterized by a small positive parameter ε, see (1.7)) and the minimal surface flow [21] and the prescribed mean curvature flow [16]. Since...
Analytic Cycles and Vector Bundles on Non-Compact Algebraic Varieties.
Analytic extension of a maximal surface in along its boundary.
Analytic singularities and geodesic completeness. I
Analytic singularities and geodesic completeness. II
Analytic torsion and closed geodesics on hyperbolic manifolds.
Analytische Eigenschaften konvexer Funktionen auf Riemannschen Mannigfaltigkeiten.