Analytical theory of homotopy groups

1988 ◽  
pp. 99-112 ◽  
Author(s):  
S. P. Novikov
Keyword(s):  
Analytical Theory ◽  
Homotopy Groups

Where Do the Ions Reside in a Highly Charged Droplet?

2019 ◽  
Author(s):  
Victor Kwan ◽  
Anatoly Malevanets ◽  
Styliani Consta
Keyword(s):  
Molecular Dynamics ◽  
Analytical Theory ◽  
Charged Droplet ◽  
Linear Dimensions

Droplets in atmospheric and electrosprayed aerosols carry more often than less, a multitude of ions. We address the question of the location of a collection of ions in charged aqueous droplets with linear dimensions in the nanometer<br>range using atomistic molecular dynamics and analytical theory. All the details of the computations have been described in the manuscript.<br>

Where Do the Ions Reside in a Highly Charged Droplet?

2019 ◽  
Author(s):  
Victor Kwan ◽  
Anatoly Malevanets ◽  
Styliani Consta
Keyword(s):  
Molecular Dynamics ◽  
Analytical Theory ◽  
Charged Droplet ◽  
Linear Dimensions

Droplets in atmospheric and electrosprayed aerosols carry more often than less, a multitude of ions. We address the question of the location of a collection of ions in charged aqueous droplets with linear dimensions in the nanometer<br>range using atomistic molecular dynamics and analytical theory. All the details of the computations have been described in the manuscript.<br>

scholarly journals Whitehead products in the complex Stiefel manifolds

1983 ◽  
Vol 26 (2) ◽  
pp. 241-251 ◽  
Author(s):  
Yasukuni Furukawa
Keyword(s):  
Stiefel Manifold ◽  
Isotropy Group ◽  
Homotopy Groups ◽  
Stiefel Manifolds

The complex Stiefel manifoldWn,k, wheren≦k≦1, is a space whose points arek-frames inCn. By using the formula of McCarty [4], we will make the calculations of the Whitehead products in the groups π*(Wn,k). The case of real and quaternionic will be treated by Nomura and Furukawa [7]. The product [[η],j1l] appears as generator of the isotropy group of the identity map of Stiefel manifolds. In this note we use freely the results of the 2-components of the homotopy groups of real and complex Stiefel manifolds such as Paechter [8], Hoo-Mahowald [1], Nomura [5], Sigrist [9] and Nomura-Furukawa [6].

scholarly journals Homotopy groups of diagonal complements

2016 ◽  
Vol 16 (5) ◽  
pp. 2949-2980 ◽  
Author(s):  
Sadok Kallel ◽  
Ines Saihi
Keyword(s):  
Homotopy Groups
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