scholarly journals Geometric properties near singular points of surfaces given by certain representation formulae

2021 ◽  
Vol 99 (3-4) ◽  
pp. 331-354
Author(s):  
Yoshiki Matsushita ◽  
Takuya Nakashima ◽  
Keisuke Teramoto
Author(s):  
A.O. Bagapsh

We study the properties of complex-valued functions of a complex variable, whose real and imaginary parts satisfy a second-order skew-symmetric strongly elliptic system with constant real coefficients in the plane. The behavior of such functions and their dilatations near singular points is investigated and the dependence of the type of the singularity on the form of the Laurent expansion of the function under consideration is established. The principle of the argument is established for the functions with poles under study, analogs of the Ruschet and Hurwitz theorems are proved


1978 ◽  
Vol 3 ◽  
pp. 381-386 ◽  
Author(s):  
F. Hardouin ◽  
G. Sigaud ◽  
M.-F. Achard ◽  
H. Gasparoux
Keyword(s):  

1988 ◽  
Vol 154 (3) ◽  
pp. 525 ◽  
Author(s):  
V.P. Antropov ◽  
Valentin G. Vaks ◽  
M.I. Katsnel'son ◽  
V.G. Koreshkov ◽  
A.I. Likhtenshtein ◽  
...  

2006 ◽  
Vol 26 (Supplement2) ◽  
pp. 237-240
Author(s):  
Sinzaburo UMEDA ◽  
Shinji SHIGEYAMA ◽  
Wen-Jei YANG

2010 ◽  
Vol 14 (1) ◽  
pp. 29-56 ◽  
Author(s):  
Marcellino Gaudenzi ◽  
Antonino Zanette ◽  
Maria Antonietta Lepellere

2017 ◽  
Vol 5 (2) ◽  
pp. 73-78
Author(s):  
Jay Prakash Singh ◽  

In this paper author present an investigation of some differential geometric properties of Para-Sasakian manifolds. Condition for a vector field to be Killing vector field in Para-Sasakian manifold is obtained. Mathematics Subject Classification (2010). 53B20, 53C15.


2020 ◽  
pp. 026010602097524
Author(s):  
Darren G Candow ◽  
Philip D Chilibeck ◽  
Julianne Gordon ◽  
Emelie Vogt ◽  
Tim Landeryou ◽  
...  

Background: The combination of creatine supplementation and resistance training (10–12 weeks) has been shown to increase bone mineral content and reduce a urinary indicator of bone resorption in older males compared with placebo. However, the longer-term effects (12 months) of creatine and resistance training on bone mineral density and bone geometric properties in older males is unknown. Aim: To assess the effects of 12 months of creatine supplementation and supervised, whole-body resistance training on bone mineral density, bone geometric properties, muscle accretion, and strength in older males. Methods: Participants were randomized to supplement with creatine ( n = 18, 49–69 years, 0.1 g·kg-1·d-1) or placebo ( n = 20, 49–67 years, 0.1 g·kg-1·d-1) during 12 months of supervised, whole-body resistance training. Results: After 12 months of training, both groups experienced similar changes in bone mineral density and geometry, bone speed of sound, lean tissue and fat mass, muscle thickness, and muscle strength. There was a trend ( p = 0.061) for creatine to increase the section modulus of the narrow part of the femoral neck, an indicator of bone bending strength, compared with placebo. Adverse events did not differ between creatine and placebo. Conclusions: Twelve months of creatine supplementation and supervised, whole-body resistance training had no greater effect on measures of bone, muscle, or strength in older males compared with placebo.


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