Results 41 to 50 of about 13,504 (166)
We derive computational formulas for determining the Clairaut constant, i.e. the cosine of the maximum latitude of the geodesic arc, from two given points on the oblate ellipsoid of revolution. In all cases the Clairaut constant is unique.
Sjöberg L. E.
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Theoretically proved that the displacement of the center of mass of a mechanical system for any of the corners of the counter rotational movement of its working bodies in the plane of the reference body independent of the resistance movement of the ...
S.V. Savelkaev
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Geodesics and Compression Bodies [PDF]
31 pages, 11 figures. V2 contains minor changes.
Marc Lackenby, Jessica S. Purcell
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Curve shortening by short rulers
The aim is to construct a straight line between the two endpoints of a rectifiable curve using only a ruler, which is too short to connect them directly.
Stadler Peter
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The Superluminal Phenomenon of Light Near the Kerr–Newman Black Hole or Super-Gravitational Source
We use the Kerr–Newman metric based on the theory of general relativity to discuss the observed superluminal phenomenon of light near the black hole and whether it is observable astronomically at infinity or a weak gravitational place such as on Earth ...
Ting-Hang Pei
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Geodesics without conjugate points and curvatures at infinity
We study the asymptotic behavior of curvature and prove that the integral of curvature along a geodesic without conjugate points is nonpositive and some generalizations of Myers theorem and Cohn-Vossen's theorem. Some applications are also given.
MENDONÇA SÉRGIO, ZHOU DETANG
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Kajian Sketsa Digital dalam Proses Reka-Struktur Bentuk-Bentuk Surface
Free form surface has a multiple complexity curve intrinsically, so that special approach is needed to form the structure. Geodesic shell is well-known as the shortest path between two points on a curved surface.
Riva Tomasowa
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Geodesic flows in cosmology [PDF]
In this brief note we discuss geodesic flows that correspond to cosmological solutions in higher-dimensional supergravity. On the one hand, we explain that S-brane solutions are in one-to-one correspondence with geodesic curves on the moduli space through dimensional reduction over the brane worldvolume.
Bergshoeff, Eric +3 more
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TRIANGLES, SQUARES AND GEODESICS
In the early 1990s Steve Gersten and Hamish Short proved that compact nonpositively curved triangle complexes have biautomatic fundamental groups and that compact nonpositively curved square complexes have biautomatic fundamental groups. In this paper we report on the extent to which results such as these extend to nonpositively curved complexes built
Rena Levitt, Jon McCammond
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