Antitrochoiden, eine Analogon zu den Radlinien.
Anwendungen der differentialtopologischen Berechnung der totalen Krümmung und totalen Absolutkrümmung in der sphärischen Differentialgeometrie.
Any Hermitian Metric of Constant Non-Positive (Hermitian) Holomorphic Sectional Curvature on a Compact Complex Surface is Kähler.
Appendice : « Décomposition en produit de deux browniens d'une martingale à valeurs dans un groupe muni d'une métrique bi-invariante »
Appendix : An example of thick wall
Appendix (to D. McDuff and L. Polterovich)
Application of spaces of subspheres to conformal invariants of curves and canal surfaces
We review some techniques from the Möbius geometry of curves and surfaces in the 3-sphere, consider canal surfaces using their characteristic circles, and express the conformal curvature, and conformal torsion, of a vertex-free space curve in terms of its corresponding curve of osculating circles, and osculating spheres, respectively. We accomplish all of this strictly within the framework of Möbius geometry, and compare our results with the literature. Finally, we show how our formulation allows...
Application of the Weyl curvature tensor to description of the generalized Reissner-Nordstrøm space-time
The Weyl curvature tensor for the generalized Reissner-Nordstrοm space-time is determined and theorems related to the Penrose conjecture are proved.
Applications Harmoniques de Variétés Produits.
Applications of Integral Geometry to Geometric Properties of Sets in the 3D-Heisenberg Group
By studying the group of rigid motions, PSH(1), in the 3D-Heisenberg group H1,we define a density and a measure in the set of horizontal lines. We show that the volume of a convex domain D ⊂ H1 is equal to the integral of the length of chords of all horizontal lines intersecting D. As in classical integral geometry, we also define the kinematic density for PSH(1) and show that the measure of all segments with length l intersecting a convex domain D ⊂ H1 can be represented by the p-area of the boundary...
Applications of Lie derivatives to symmetries, geodesic mappings, and first integrals in Riemannian spaces
Applications of Quaternionic Holomorphic Geometry to minimal surfaces
In this paper we give a survey of methods of Quaternionic Holomorphic Geometry and of applications of the theory to minimal surfaces. We discuss recent developments in minimal surface theory using integrable systems. In particular, we give the Lopez–Ros deformation and the simple factor dressing in terms of the Gauss map and the Hopf differential of the minimal surface. We illustrate the results for well–known examples of minimal surfaces, namely the Riemann minimal surfaces and the Costa surface....
Applications of spectral geometry to affine and projective geometry.
Applications of symplectic homology II: Stability of the action spectrum.
Applications of the group analysis of differential equations to some systems of noncommuting -smooth vector fields.
Applications of the ‘Ham Sandwich Theorem’ to Eigenvalues of the Laplacian
We apply Gromov’s ham sandwich method to get: (1) domain monotonicity (up to a multiplicative constant factor); (2) reverse domain monotonicity (up to a multiplicative constant factor); and (3) universal inequalities for Neumann eigenvalues of the Laplacian on bounded convex domains in Euclidean space.
Applications of the Kähler-Einstein-Calabi-Yau Metric to Moduli of K3 Surfaces.
Approximately Einstein ACH metrics, volume renormalization, and an invariant for contact manifolds
To any smooth compact manifold endowed with a contact structure and partially integrable almost CR structure , we prove the existence and uniqueness, modulo high-order error terms and diffeomorphism action, of an approximately Einstein ACH (asymptotically complex hyperbolic) metric on . We consider the asymptotic expansion, in powers of a special defining function, of the volume of with respect to and prove that the log term coefficient is independent of (and any choice of contact...
Approximation by positive mean curvature immersions: frizzing.
Approximation eines Evolventenstücks durch ein Kreisbogenstück