Almost identical imitations of (3,1)-dimensional manifold pairs and the manifold mutation

Tyurin parameters of commuting pairs and infinite dimensional Grassmann manifold

Commuting pairs of ordinary differential operators are classified by a set of algebro-geometric data called “algebraic spectral data”. These data consist of an algebraic curve (“spectral curve”) Γ with a marked point γ∞, a holomorphic vector bundle E on Γ and some additional data related to the local structure of Γ and E in a neighborhood of γ∞. If the rank r of E is greater than 1, one can use...

On Structure Sets of Manifold Pairs

In this paper we systematically describe relations between various structure sets which arise naturally for pairs of compact topological manifolds with boundary. Our consideration is based on a deep analogy between the case of a compact manifold with boundary and the case of a closed manifold pair. This approach also gives a possibility to construct the obstruction groups for natural maps of va...

High-Dimensional Manifold Geostatistics

An understanding of the Earth’s climate system benefits all sectors of the economy and environment. Several challenges faced when modeling the Earth’s climate system include: estimating geographical features of global datasets, making inferences from multiple data-products, and providing diagnostic tools for complex Earth models. Existing geostatistical approaches address these challenges by mo...

Conformal transformation in an almost Hermitian manifold

Abstract. In this paper, we have studied a conformal transformation between two almost Hermitian manifolds and shown that the associated Nijenhuis tensor is conformally invariant under this transformation. We have also discussed the properties of contravariant almost analytic vector field, covariant almost analytic vector field and some other properties in almost Hermitian manifold under this t...

The Automorphism Group of a Homogeneous Almost Complex Manifold (*)