Results 221 to 230 of about 87,606 (230)

Satellites and Riemannian geometry

Celestial Mechanics, 1969
In an axially symmetric three-dimensional Riemann-spacegik(u1,u2)−u3 represents the cyclic parameter-, a gravitational potential ϕ(u1,u2) is given. For all masspoints with equal total energy and equal angular momentum there exists a function Ψ(u1,u2) by means of which the equations of motion can be reduced to a simple ordinary second-order differential
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Embeddings and immersions in Riemannian geometry

Russian Mathematical Surveys, 1970
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
M L Gromov, V. A. Rokhlin
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Riemannian geometry of fibre bundles [PDF]

Russian Mathematical Surveys, 1991
See the review in Zbl 0760.53028.
A L Yampol'skii, A A Borisenko
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Riemannian Geometry

1966
Publisher Summary This chapter focuses on Riemannian geometry. In studying the geometry of a surface in E3, it is found that some of its most important geometric properties belong to the surface itself and not the surrounding Euclidean space. Gaussian curvature is a prime example; although defined in terms of shape operators, it belongs to this ...
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Tensors. Riemannian Geometry

1990
We have already got used to the fact that many quantities are given as numerical functions of a point in space. For example, the distance from a point to a certain fixed centre, etc. If we have several such quantities at our disposal, we already have several functions of a point (or, so to say, the vector function of this point).
S. P. Novikov, Anatoliĭ Timofeevich Fomenko   +1 more
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Homogeneous Riemannian Structures in Thurston Geometries and Contact Riemannian Geometries

International Electronic Journal of Geometry
We give explicit parametrizations for all the homogeneous Riemannian structures on model spaces of Thurston geometry. As an application, we give all the homogeneous contact metric structures on $3$-dimensional Sasakian space forms.
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Transversal Riemannian Geometry

1997
A Riemannian metricg Q on the normal bundleQof a foliation F is holonomy invariant, if $$\theta \left( V \right){{g}_{Q}} = 0{\text{ for all }}V \in \Gamma L$$ (5.1) . Here we have by definition fors\(s' \in \Gamma Q\) $$\left( {\theta \left( V \right){{g}_{Q}}} \right)\left( {s,s'} \right) = V{{g}_{Q}}\left( {s,s'} \right) - {{g}_{Q ...
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Riemannian Geometry

1982
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Riemannian Geometry

1998
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Contributions to Riemannian Geometry in the Large

The Annals of Mathematics, 1959
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