Kozłowski, Wojciech; Niedziałomski, Kamil Conformality of a differential with respect to Cheeger-Gromoll type metrics. (English) Zbl 1239.53050 Geom. Dedicata 157, 227-237 (2012). Summary: We investigate conformality of the differential of a mapping between Riemannian manifolds whose tangent bundles are equipped with a generalized metric of Cheeger-Gromoll type. Cited in 2 Documents MSC: 53C20 Global Riemannian geometry, including pinching 53A30 Conformal differential geometry (MSC2010) Keywords:conformal mappings; Cheeger-Gromoll type metrics; second standard immersion PDFBibTeX XMLCite \textit{W. Kozłowski} and \textit{K. Niedziałomski}, Geom. Dedicata 157, 227--237 (2012; Zbl 1239.53050) Full Text: DOI arXiv References: [1] Benyounes M., Loubeau E., Wood C.M.: Harmonic sections of Riemannian bundles and metrics of Cheeger-Gromoll type. Diff. Geom. Appl. 25, 322–334 (2007) · Zbl 1128.53037 · doi:10.1016/j.difgeo.2006.11.010 [2] Benyounes M., Loubeau E., Wood C.M.: The geometry of generalized Cheeger-Gromoll metrics. Tokyo J. Math. 32(2), 287–312 (2009) · Zbl 1200.53025 · doi:10.3836/tjm/1264170234 [3] Chen B.: Total mean curvature and submanifolds of finite type. World Scientific, Singapore (1984) · Zbl 0537.53049 [4] Gudmundsson S., Kappos E.: On the geometry of the tangent bundle with the Cheeger-Gromoll metric. Tokyo J. Math. 25, 75–83 (2002) · Zbl 1019.53017 · doi:10.3836/tjm/1244208938 [5] Kowalski O.: Curvature of the induced Riemannian metric on the tangent bundle of a Riemannian manifold. J. reine anegew. Math. 250, 124–129 (1971) · Zbl 0222.53044 [6] Kozłowski W., Walczak Sz.: Collapse of unit horizontal bundles equipped with a metric of Cheeger-Gromoll type. Differential Geom. Appl. 27(3), 378–383 (2009) · Zbl 1181.53016 · doi:10.1016/j.difgeo.2008.10.016 [7] Munteanu M.I.: Some aspects on the geometry of the tangent bundles and tangent sphere bundles of a Riemannian manifold. Mediterr. J. Math. 5(1), 43–59 (2008) · Zbl 1177.53022 · doi:10.1007/s00009-008-0135-4 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.