Selected Papers of Kentaro Yano (North-Holland Mathematical

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The main result of the paper is a general description of the umbilic and normally flat immersions: Given a hypersurface $f$ and a point $O$ in the $(n+1)$-space, the immersion $(\nu,\nu\cdot(f-O))$, where $\nu$ is the co-normal of $f$, is umbilic and normally flat, and conversely, any umbilic and normally flat immersion is of this type. Hence, the condition for u= constant to be geodesic is U=0. similarly V=0 is the condition for v= constant to be a geodesic. be the equation of a surface.

Pages: 418

Publisher: Elsevier Science Ltd (November 1982)

ISBN: 0444864954

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This volume includes papers ranging from applications in topology and geometry to the algebraic theory of quadratic forms. Various aspects of the use of quadratic forms in algebra, analysis, topology, geometry, and number theory are addressed. Contents: Background Material (Euclidean Space, Delone Sets, Z-modules and lattices); Tilings of the plane (Periodic, Aperiodic, Penrose Tilings, Substitution Rules and Tiling, Matching Rules); Symbolic and Geometric tilings of the line Differential Geometry (Colloquia mathematica Societatis Janos Bolyai). Abstract: The study of the Teichmuller geometry and dynamics of the moduli space of curves has been in a period of high activity for over a decade Geometry of Hypersurfaces (Springer Monographs in Mathematics). The subjects are related but it all depends on what you have in mind: You want to study Riemanian geometry, differential forms, symplectic geometry, etc. There are whole part of the theory that you can do without any topology, this is because differential geometry is basically at the start a local thing. Then, once you have mastered the local theory, you can look at how things go globally Geometrical Foundations of Continuum Mechanics: An Application to First- and Second-Order Elasticity and Elasto-Plasticity (Lecture Notes in Applied Mathematics and Mechanics).

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