A new approach on helices in pseudo-Riemannian manifolds

In this paper, we give a definition of harmonic curvature functions in terms of V_{n} and define a new kind of slant helix which is called V_{n}-slant helix in n-dimensional pseudo-Riemannian manifold. Also, we give important characterizations about the helix.Comment: arXiv admin note: substantial text overlap with arXiv:1305.704

Synthesis of C2-Symmetric Bisphosphines and Their Application in Enantioselective Transition Metal Catalysis

C2-symmetric bisphosphine ligands (with a dioxolane backbone) have been synthesized by using corresponding chiral bromo-substituted hydrobenzoin derivatives in two steps with moderate yields. The last step for desired bisphosphines defined the electronic and steric properties of the chelating atoms by the treatment of aryl or alkyl substituted chlorophosphine compounds in the presence of a base. These synthesized ligands have been evaluated in different catalytic reactions. The first application has been the palladiumcatalyzed enantioselective allylic alkylation which is regarded as a remarkable reaction for forming enantioselective carbon-carbon bond (up to 63 % ee and 98 % chemical yield). The ruthenium-catalyzed enantioselective transfer hydrogenation reaction has been the second application for the evaluating of the catalysts (up to > 99 % conversion with no enantioselectivity). This work is licensed under a Creative Commons Attribution 4.0 International License

A new approach on helices in Euclidean n-space

In this work, we give some new characterizations for inclined curves and slant helices in n-dimensional Euclidean space E^{n}. Morever, we consider the pre-characterizations about inclined curves and slant helices and reconfigure them

Book Review: Cross-Border Partnerships in Higher Education: Strategies and Issues

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