Ebook: Global Differential Geometry and Global Analysis: Proceedings of the Colloquium Held at the Technical University of Berlin, November 21 – 24, 1979

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Content:
Front Matter....Pages -
E. B. Christoffels Einfluss auf die Geometrie....Pages 1-11
Distance geometry in Riemannian manifolds-with-boundary....Pages 12-18
Laplacian with a potential....Pages 19-29
Laplacian and riemannian submersions with totally geodesic fibres....Pages 30-35
A plateau problem with many solutions for boundary curves in a given knot class....Pages 36-41
Ricci curvature and einstein metrics....Pages 42-63
Smooth approximation of polyhedral surfaces with respect to curvature measures....Pages 64-68
Invariant eigenfunctions of the laplacian and their asymptotic distribution....Pages 69-81
The bieberbach case in gromov’s almost flat manifold theorem....Pages 82-93
Tight spherical embeddings....Pages 94-104
Characterizations of space forms by hypersurfaces....Pages 105-109
On graded bundles and their geometry....Pages 110-125
Compact riemannian manifolds with harmonic curvature and non-parallel ricci tensor....Pages 126-128
Stability of minimal submanifolds....Pages 129-139
A generalization of Weyl’s tube formula....Pages 140-144
The X-ray transform on a symmetric space....Pages 145-148
Visibility, horocycles, and the Bruhat decomposition....Pages 149-153
On holomorphic connections....Pages 154-164
Fiber parallelism and connections....Pages 165-173
Riemannian manifolds the geodesic balls of which are near to the Euclidean balls by volume....Pages 174-180
Tight foliations....Pages 181-186
Minima and critical points of the energy in dimension two....Pages 187-193
S1-actions on almost complex manifolds....Pages 194-202
On conformal immersions of space forms....Pages 203-210
Some remarks on elliptic equations and infinitesimal deformations of submanifolds....Pages 211-220
The spectrum of the laplacian and the curvature of sasakian manifolds....Pages 221-228
Geodesic chains and the spherical mean operator....Pages 229-232
The spectrum of the laplace operator for a special complex manifold....Pages 233-238
On the holomorphicity of harmonic maps from a surface....Pages 239-243
Codazzi tensors and reducible submanifolds....Pages 245-248
Codazzi tensor fields and curvature operators....Pages 249-250
Some remarks on the local structure of codazzi tensors....Pages 251-255
A remark on codazzi tensors in constant curvature spaces....Pages 257-257
A contribution to the "Codazzi" discussion....Pages 258-262
Codazzi pairs on surfaces....Pages 263-274
An application of a. d. Aleksandrov’s inequality to the problem of characterization of spheres....Pages 275-288
Codazzi tensors....Pages 289-296
Verallgemeinerung eines Satzes von Leung und Nomizu....Pages 297-298
Codazzi — Tensors in surface theory....Pages 299-299

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Content:
Front Matter....Pages -
E. B. Christoffels Einfluss auf die Geometrie....Pages 1-11
Distance geometry in Riemannian manifolds-with-boundary....Pages 12-18
Laplacian with a potential....Pages 19-29
Laplacian and riemannian submersions with totally geodesic fibres....Pages 30-35
A plateau problem with many solutions for boundary curves in a given knot class....Pages 36-41
Ricci curvature and einstein metrics....Pages 42-63
Smooth approximation of polyhedral surfaces with respect to curvature measures....Pages 64-68
Invariant eigenfunctions of the laplacian and their asymptotic distribution....Pages 69-81
The bieberbach case in gromov’s almost flat manifold theorem....Pages 82-93
Tight spherical embeddings....Pages 94-104
Characterizations of space forms by hypersurfaces....Pages 105-109
On graded bundles and their geometry....Pages 110-125
Compact riemannian manifolds with harmonic curvature and non-parallel ricci tensor....Pages 126-128
Stability of minimal submanifolds....Pages 129-139
A generalization of Weyl’s tube formula....Pages 140-144
The X-ray transform on a symmetric space....Pages 145-148
Visibility, horocycles, and the Bruhat decomposition....Pages 149-153
On holomorphic connections....Pages 154-164
Fiber parallelism and connections....Pages 165-173
Riemannian manifolds the geodesic balls of which are near to the Euclidean balls by volume....Pages 174-180
Tight foliations....Pages 181-186
Minima and critical points of the energy in dimension two....Pages 187-193
S1-actions on almost complex manifolds....Pages 194-202
On conformal immersions of space forms....Pages 203-210
Some remarks on elliptic equations and infinitesimal deformations of submanifolds....Pages 211-220
The spectrum of the laplacian and the curvature of sasakian manifolds....Pages 221-228
Geodesic chains and the spherical mean operator....Pages 229-232
The spectrum of the laplace operator for a special complex manifold....Pages 233-238
On the holomorphicity of harmonic maps from a surface....Pages 239-243
Codazzi tensors and reducible submanifolds....Pages 245-248
Codazzi tensor fields and curvature operators....Pages 249-250
Some remarks on the local structure of codazzi tensors....Pages 251-255
A remark on codazzi tensors in constant curvature spaces....Pages 257-257
A contribution to the "Codazzi" discussion....Pages 258-262
Codazzi pairs on surfaces....Pages 263-274
An application of a. d. Aleksandrov’s inequality to the problem of characterization of spheres....Pages 275-288
Codazzi tensors....Pages 289-296
Verallgemeinerung eines Satzes von Leung und Nomizu....Pages 297-298
Codazzi — Tensors in surface theory....Pages 299-299
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