Pseudoinversion of degenerate metrics by C. Atindogbe, J.-P. Ezin, Joël Tossa

“…A large class of differential operators in differential geometry is intrinsically defined by means of the dual metric g∗ on the dual bundle TM∗ of 1-forms on M. …”
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Inverse Fourier Transform in the Gamma Coordinate System by Yuchuan Wei, Hengyong Yu, Ge Wang

“…Our analysis on the motion of the frequency plane is related to the Frenet-Serret theorem in the differential geometry.…”
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Creeping Ray Tracing Algorithm for Arbitrary NURBS Surfaces Based on Adaptive Variable Step Euler Method by Song Fu, Yun-Hua Zhang, Si-Yuan He, Xi Chen, Guo-Qiang Zhu

“…Although the uniform theory of diffraction (UTD) could be theoretically applied to arbitrarilyshaped convex objects modeled by nonuniform rational B-splines (NURBS), one of the great challenges in calculation of the UTD surface diffracted fields is the difficulty in determining the geodesic paths along which the creeping waves propagate on arbitrarilyshaped NURBS surfaces. In differential geometry, geodesic paths satisfy geodesic differential equation (GDE). …”
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Networking Method for the Structure of a Large Modular Deployable Space Antenna by Dake Tian, Xiaodong Fan, Junwei Zhang, Lu Jin, Rongqiang Liu, Yu Zhang

“…On the basis of basic theories of differential geometry, analytical geometry, and robotics, the mathematical model of an envelope circle and that of its center are established. …”
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Augmented Superfield Approach to Nilpotent Symmetries of the Modified Version of 2D Proca Theory by A. Shukla, S. Krishna, R. P. Malik

“…For the sake of completeness, we also mention, very briefly, a unique bosonic symmetry, the ghost-scale symmetry, and discrete symmetries of the theory and show that the algebra of conserved charges provides a physical realization of the Hodge algebra (satisfied by the de Rham cohomological operators of differential geometry).…”
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A Coons Patch Spanning a Finite Number of Curves Tested for Variationally Minimizing Its Area by Daud Ahmad, Bilal Masud

“…Having a well-parameterized surface, we do some calculations on it that are motivated by differential geometry but give a better optimized and possibly more smooth surface. …”
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Almost contact metric 3-submersions by Bill Watson

“…Applications to the real differential geometry of Yarg-Milis field equations are indicated based on the fact that a principal SU(2)-bundle over a compactified realized space-time can be given the structure of an almost contact metric 3-submersion.…”
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Evolution of CFD numerical methods and physical models towards a full discrete approach by Caltagirone, Jean-Paul

“…In recent decades, the emergence of methodologies based on differential geometry or exterior calculus has changed the point of view by starting with the creation of entangled polygonal and polyhedral structures where the variables are located. …”
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Optical wave features and sensitivity analysis of a coupled fractional integrable system by Jan Muhammad, Usman Younas, D.K. Almutairi, Aziz Khan, Thabet Abdeljawad

“…The Akbota equation, is a basic tool for investigating nonlinear phenomena in optics, differential geometry of curves, and magnetism. The optical wave solutions are extracted in the forms of different solitary waves as well as periodic, hyperbolic exponential function solutions. …”
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Cyclic surfaces accompanying non-ruled quadrics of rotation by K. L. Panchuk, T. M. Myasoedova, E. V. Lyubchinov

“…As a tool for shaping surfaces of non-linear rotation, the method of the accompanying Frenet trihedron, known in the differential geometry of curved lines, is used. The geometric scheme of surface shaping is based on a construction that includes: a curvilinear axis of rotation and a one-parameter set of its normal planes; a generatrix whose points describe in normal planes circular trajectories centered on a curvilinear axis. …”
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