Spaces with exceptional fundamental groups.
Spaces with non-symmetric affine connection.
Spaces with Ricci curvature bounds.
Space-time distributions.
Space-times admitting a covariantly constant spinor field
Special cohomogeneity one isometric actions on irreducible symmetric spaces of types I and II.
Special compositions in affinely connected spaces without a torsion
2000 Mathematics Subject Classification: 53B05, 53B99.Let AN be an affinely connected space without a torsion. With the help of N independent vector fields and their reciprocal covectors is built an affinor which defines a composition Xn ×Xm (n+m = N). The structure is integrable. New characteristics by the coefficients of the derivative equations are found for special compositions, studied in [1], [3]. Two-dimensional manifolds, named as bridges, which cut the both base manifolds of the composition...
Special Connections on Almost-Multifoliate Riemannian Manifolds.
Special directions on contact metric manifolds of negative -sectional curvature
Special generalized Gauss graphs and their application to minimization of functional involving curvatures.
Special invariant operators I
The aim of the first part of a series of papers is to give a description of invariant differential operators on manifolds with an almost Hermitian symmetric structure of the type which are defined on bundles associated to the reducible but undecomposable representation of the parabolic subgroup of the Lie group . One example of an operator of this type is the Penrose’s local twistor transport. In this part general theory is presented, and conformally invariant operators are studied in more...
Special Kähler metrics on complex line bundles and the geometry of -surfaces.
Special Lagrangian linear subspaces in product symplectic space
The notes consist of a study of special Lagrangian linear subspaces. We will give a condition for the graph of a linear symplectomorphism to be a special Lagrangian linear subspace in . This way a special symplectic subset in the symplectic group is introduced. A stratification of special Lagrangian Grassmannian is defined.
Special Lagrangian submanifolds in the complex sphere
We construct a family of Lagrangian submanifolds in the complex sphere which are foliated by -dimensional spheres. Among them we find those which are special Lagrangian with respect to the Calabi-Yau structure induced by the Stenzel metric.
Special spinors and contact geometry.
Special tangent valued forms and the Frölicher-Nijenhuis bracket
We define the tangent valued -forms for a large class of differential geometric categories. We deduce that the Frölicher-Nijenhuis bracket of two tangent valued -forms is a -form as well. Then we discuss several concrete cases and we outline the relations to the theory of special connections.
Specialization of a frame and its geometrical interpretation
Spectra of manifolds with small handles.
Spectral Calculus and Lipschitz Extension for Barycentric Metric Spaces
The metric Markov cotype of barycentric metric spaces is computed, yielding the first class of metric spaces that are not Banach spaces for which this bi-Lipschitz invariant is understood. It is shown that this leads to new nonlinear spectral calculus inequalities, as well as a unified framework for Lipschitz extension, including new Lipschitz extension results for CAT (0) targets. An example that elucidates the relation between metric Markov cotype and Rademacher cotype is analyzed, showing that...
Spectral estimates for Schrödinger and Dirac-type operators on Riemannian manifolds.