scholarly journals The Rotational Kinematic Formula Viewed from a Tetrad-based Anholonomic Frame

2020 ◽  
Vol 76 (5) ◽  
pp. 357-367
Author(s):  
G. Hugh Song
Keyword(s):  
1990 ◽  
Vol 33 (1) ◽  
pp. 79-88
Author(s):  
Sungyun Lee

The Euler characteristic of an even dimensional submanifold in a space of constant curvature is given in terms of Weyl's curvature invariants. A derivation of Chern's kinematic formula in non-Euclidean space is completed. As an application of above results Weyl's tube formula about an odd-dimensional submanifold in a space of constant curvature is obtained.


1988 ◽  
Vol 105 (4) ◽  
pp. 279-285 ◽  
Author(s):  
P. Mani-Levitska

2014 ◽  
Vol 22 (12) ◽  
pp. 3342-3347 ◽  
Author(s):  
杨会生 YANG Hui-sheng ◽  
李志来 LI Zhi-lai ◽  
徐宏 XU Hong ◽  
曹乃亮 CAO Nai-liang ◽  
鲍赫 BAO He ◽  
...  
Keyword(s):  

2019 ◽  
Vol 129 (7) ◽  
pp. 2437-2465 ◽  
Author(s):  
Snigdha Panigrahi ◽  
Jonathan Taylor ◽  
Sreekar Vadlamani
Keyword(s):  

2017 ◽  
Vol 26 (04) ◽  
pp. 1750011
Author(s):  
A. M. Khalaf ◽  
M. Kotb ◽  
T. M. Awwad

Two-way cross-talk transitions between pairs of signature partners superdeformed (SD) bands in [Formula: see text]Hg (SD2,SD3), [Formula: see text]Hg (SD3,SD4) and [Formula: see text]T1(SD1,SD2) built on the configurations [Formula: see text], respectively, are proposed. The [Formula: see text] energy staggering presented in these odd SD nuclei are investigated and parametrized by proposing two staggering functions depending on the dipole transitions linking the signature partners. These staggering functions differ from the conventional staggering functions employed in previous works which depend on the quadruple transitions within each band. For parametrization, we used the two-term formula of Bohr–Mottelson collective rotational model. The model parameters and the bandhead spins of the considered signature partners are determined by using a simulated fitting search program and the values of the adopted parameters are used to calculate transition energies [Formula: see text], rotational frequencies [Formula: see text], kinematic [Formula: see text] and dynamic [Formula: see text] moments of inertia. The calculated results agree very well with the experimental ones. The bands exhibit the usual increasing trend. Large amplitude staggering has been found in the considered three signature partner pairs in [Formula: see text]Hg and [Formula: see text]T1 nuclei.


2017 ◽  
Vol 21 (1) ◽  
pp. 43-54
Author(s):  
Chunna Zeng ◽  
Lei Ma ◽  
Yin Tong

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