Totally umbilical submanifolds
WebJun 7, 2024 · As is well known, pseudo-umbilical submanifolds are the broad class of submanifolds that include totally umbilical submanifolds. Compared to totally umbilical … WebThere exist qualified papers dealing with statistical manifolds and their submanifolds admitting various differentiable structures. ... by examining the commonly known …
Totally umbilical submanifolds
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WebIt is well known that every totally umbilical submanifold of a space of constant curvature is either a small sphere or is totally geodesic. B.-Y. Chen has classified totally umbilical … Web批注本地保存成功，开通会员云端永久保存 去开通
WebFeb 8, 2016 · Biography. Jürgen Berndt is a professor of mathematics at King’s College London. He is the author of two research monographs and more than 50 research articles. … WebThe curvature and Killing vector fields of a class of spacetimes generalizing Robertson-Walker ones (without any assumption on the fiber) is widely studied. Such spacetimes admitting non-trivial Killing vector fields are characterized, and in the globally hyperbolic case, explicitly listed.
WebLet Mn be an n-dimensional Riemannian manifold minimally immersed in the unit sphere Sn+p (1) of dimension n + p. When Mn is compact, Chern, do Carmo and Kobayashi [1] …
WebFeb 29, 2012 · The slant submanifolds of an almost contact metric manifold were defined and studied by Lotta . Later on, these submanifolds were studied by Cabrerizo et al. in the … free floating anxiety symptomsWebLet Mn be an n-dimensional Riemannian manifold minimally immersed in the unit sphere Sn+p (1) of dimension n + p. When Mn is compact, Chern, do Carmo and Kobayashi [1] proved that if the square ‖h‖2 of length of the second fundamental form h in Mn is not more than , then either Mn is totallygeodesic, or Mn is the Veronese surface in S4 (1) or Mn is … free floating bacteriaWebOn the other hand, in 1954, J.A. Schouten studied the totally umbilical submanifolds and proved that every totally umbilical submanifold of dim 4 in a conformally flat space is … free-floating anxiety psychology definitionWebAfter we find integrability conditions of the distributions, we investigate a classification of totally umbilical hemi-slant submanifolds of an LP-cosymplectic manifold. 2. … free-floating black holeWebUddin, S., Khan, M. A., & Singh, K. (2011). Totally Umbilical Proper Slant and Hemislant Submanifolds of an LP-Cosymplectic Manifold. Mathematical Problems in ... free floating arm trebuchet plansWebJul 10, 2014 · The existence of totally-geodesic submanifolds in a general Riemannian manifold is exceptional. Conversely, the existence of many such totally-geodesic … free floating blood clotWebTotally Umbilical Screen Transversal Lightlike Submanifolds of Semi-Riemannian Product Manifolds S. M. Khursheed Haider , Advin Maseih , Mamta Thakur Advances in Pure … free floating anxiety treatment