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pro vyhledávání: '"Christine Scharlach"'
Autor:
Christine Scharlach
Publikováno v:
Symmetry, Integrability and Geometry: Methods and Applications, Vol 5, p 097 (2009)
An affine hypersurface M is said to admit a pointwise symmetry, if there exists a subgroup G of Aut(T_pM) for all p in M, which preserves (pointwise) the affine metric h, the difference tensor K and the affine shape operator S. Here, we consider 3-di
Externí odkaz:
https://doaj.org/article/1da218053bf04deb85fef2626feb9282
Autor:
Christine Scharlach, Luc Vrancken
Publikováno v:
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg. 73:167-179
We study affine immersions as introduced by Nomizu and Pinkall. We classify those affine immersions of a surface in 4-space which are degenerate and have vanishing cubic form (i.e. parallel second fundamental form). This completes the classification
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::760b5397d3a0d59f4eb783b02d60c110
https://doi.org/10.1007/bf02941274
https://doi.org/10.1007/bf02941274
Publikováno v:
Bulletin of the Australian Mathematical Society. 66:465-475
In a previous paper it was shown how to associate with a Lagrangian submanifold satisfying Chen's equality in 3-dimensional complex projective space, a minimal surface in the 5-sphere with ellipse of curvature a circle. In this paper we focus on the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::15cf492b297ab52bc3bcdfed9c8b46d4
https://doi.org/10.1017/s0004972700040302
https://doi.org/10.1017/s0004972700040302
Autor:
Christine Scharlach, Luc Vrancken
Publikováno v:
Proceedings of the American Mathematical Society. 126:213-219
For (positive) definite surfaces in R 4 \mathbb {R}^{4} there is a canonical choice of a centroaffine normal plane bundle, which induces a centroaffine invariant Ricci-symmetric connection ∇ \nabla . We classify all surfaces in R 4 \mathbb {R}^{4}
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ea5ee0b2ef7cabfe2b51354bcad65cb0
https://doi.org/10.1090/s0002-9939-98-04408-6
https://doi.org/10.1090/s0002-9939-98-04408-6
Publikováno v:
Manuscripta Mathematica. 88:275-289
A surface in ℝ4 is called affine umbilical if for each vector belonging to the affine normal plane the corresponding shape operator is a multiple of the identity. We will classify affine umbilical definite surfaces which either have constant curvat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::350becbc217f7ae77b123b68baf73afe
https://doi.org/10.1007/bf02567823
https://doi.org/10.1007/bf02567823
Autor:
Christine Scharlach
Publikováno v:
Results in Mathematics. 27:141-159
An investigation of the centroaffine geometry of surfaces in IR4 leads to the centroaffine first order invariants: the vector bundle valued second fundamental form, the affine semiconformal structure, the h3-semiconformal structure and the centroaffi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fc53375f833250aa738b2e8a135d3e02
https://doi.org/10.1007/bf03322278
https://doi.org/10.1007/bf03322278
Publikováno v:
Journal of Mathematical Imaging and Vision. 4:353-373
Representation of object shape by medial structures has been an important aspect of image analysis. Methods for describing objects in a binary image by medial axes are well understood. Many attempts have been made to construct similar medial structur
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bca6b57be957074922687491a2cfdbdc
https://doi.org/10.1007/bf01262402
https://doi.org/10.1007/bf01262402
Autor:
Christine Scharlach, Luc Vrancken
Publikováno v:
Archiv der Mathematik. 63:368-376
1. Introduction. In the present paper, we investigate 3-dimensional. locally strongly convex affine hyperspheres M in N, ~. We will also assume that the Levi Civita connection ~' of the affine metric h is locally symmetric. This problem is related to
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::431959ec9f291f4265db087f7dac7798
https://doi.org/10.1007/bf01189575
https://doi.org/10.1007/bf01189575
Publikováno v:
Taiwanese Journal of Mathematics, TJM
Taiwanese Journal of Mathematics, TJM, Mathematical Society of the Republic of China (Taiwan), 2015, 19 (3), pp.759-792. ⟨10.11650/tjm.19.2015.4951⟩
Taiwanese J. Math. 19, no. 3 (2015), 759-792
Taiwanese Journal of Mathematics, TJM, Mathematical Society of the Republic of China (Taiwan), 2015, 19 (3), pp.759-792. ⟨10.11650/tjm.19.2015.4951⟩
Taiwanese J. Math. 19, no. 3 (2015), 759-792
© 2015, Mathematical Society of the Rep. of China. All rights reserved. In this article we obtain a classification of special Lagrangian submanifolds in complex space forms subject to a pointwise SO(2) × S3-symmetry on the second fundamental form.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::628afcc313eee1fd2b3918f053aacd1b
http://arxiv.org/abs/1107.0855
http://arxiv.org/abs/1107.0855
Autor:
Christine Scharlach, Ying Lü
An affine hypersurface is said to admit a pointwise symmetry, if there exists a subgroup of the automorphism group of the tangent space, which preserves (pointwise) the affine metric h, the difference tensor K and the affine shape operator S. In this
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0b6bdfa0ad4b9be533c49c7d9c72faec