On Randers-conformal change of Finsler space with special (\alpha,\beta)-metrics

Author(s):  
Sruthy Asha Baby ◽  
Gauree Shanker
2022 ◽  
Vol Accepted ◽  
Author(s):  
Brijesh Kumar Tripathi ◽  
V. K. Chaubey
Keyword(s):  

2009 ◽  
Vol 2 (0) ◽  
pp. 51-60 ◽  
Author(s):  
Pradeep Kumar ◽  
S. K. Narasimhamurthy ◽  
H. G. Nagaraja ◽  
S. T. Aveesh
Keyword(s):  

2017 ◽  
Vol 5 (4) ◽  
pp. 1290-1295
Author(s):  
ThippeswamyK R ◽  
◽  
Narasimhamurthy.S. K. ◽  

Author(s):  
Sarita Rani ◽  
Gauree Shanker

The study of curvature properties of homogeneous Finsler spaces with $(\alpha, \beta)$-metrics is one of the central problems in Riemann-Finsler geometry. In the present paper, the existence of invariant vector fields on a homogeneous Finsler space with Randers changed square metric has been proved. Further, an explicit formula for $S$-curvature of Randers changed square metric has been established. Finally, using the formula of $S$-curvature, the mean Berwald curvature of afore said $(\alpha, \beta)$-metric has been calculated. 


Author(s):  
S. Fujishiro

The mechanical properties of three titanium alloys (Ti-7Mo-3Al, Ti-7Mo- 3Cu and Ti-7Mo-3Ta) were evaluated as function of: 1) Solutionizing in the beta field and aging, 2) Thermal Mechanical Processing in the beta field and aging, 3) Solutionizing in the alpha + beta field and aging. The samples were isothermally aged in the temperature range 300° to 700*C for 4 to 24 hours, followed by a water quench. Transmission electron microscopy and X-ray method were used to identify the phase formed. All three alloys solutionized at 1050°C (beta field) transformed to martensitic alpha (alpha prime) upon being water quenched. Despite this heavily strained alpha prime, which is characterized by microtwins the tensile strength of the as-quenched alloys is relatively low and the elongation is as high as 30%.


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