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HORIZONTALLY HOMOTHETIC HARMONIC MORPHISMS AND STABILITY OF TOTALLY GEODESIC SUBMANIFOLDS
Journal of the Korean Mathematical Society, 2008exaly
Jacobi fields, totally geodesic foliations and geodesic differential forms
Results in Mathematics, 1978openaire +2 more sources
Totally Geodesic and Parallel Hypersurfaces of Cahen-Wallach Spacetimes
Results in MathematicsGiovanni Calvaruso +2 more
exaly
Isometric mappings and totally geodesic submanifolds of Finsler manifolds
Periodica Mathematica HungaricaRongmu Yan
exaly
Classification of totally real and totally geodesic submanifolds of compact 3-symmetric spaces
Journal of the Mathematical Society of Japan, 2006exaly
Planar Pseudo-geodesics and Totally Umbilic Submanifolds. [PDF]
J Geom Anal, 2023 AbstractWe study totally umbilic isometric immersions between Riemannian manifolds. First, we provide a novel characterization of the totally umbilic isometric immersions with parallel normalized mean curvature vector, i.e., those having nonzero mean curvature vector and such that the unit vector in the direction of the mean curvature vector is ...
Markvorsen S, Raffaelli M.
europepmc +6 more sources
On Totally Geodesic Submanifolds
AxiomsWe give a proof of Cartan’s Theorem on totally geodesic submanifolds for real analytic manifolds endowed with a real analytic, torsion-free, affine connection. We apply the theorem to real analytic Hadamard manifolds and, more generally, to real analytic
Antonella Nannicini, Donato Pertici
doaj +2 more sources
Mathematische Annalen, 1970 In this article we consider foliations with certain properties common to several geometrically defined ones. We show that their codimension is either large or zero. As an application we obtain characterisations of the totally geodesic, complete submanifolds of S N and C pN which for most dimensions are sharper than those given by Nomizu [6], Abe [1 ...
Ferus Dirk
exaly +3 more sources