WebChern-Lashof types for a compact immersed submanifold in a simply connected symmetric space of non-positive curvature. As conjectured, the functions corresponding toFi A,R (i = 1,2) were rather complex. In this paper, we prove the theorems of such types for a low dimensional compact immersedsubmanifoldM in a simply connected symmetric space N =
On a theorem of Fenchel-Borsuk-Willmore-Chern-Lashof
WebKey words: Chern–Lashof inequality, Morse number, H-spherical ends, strong, weak and total tightness 1. Introduction The starting point for the theory of tightness was the so-called Chern–Lashof inequality [4], [5]. This inequality gives a lower estimate (the Morse number) for the total absolute curvature of an immersion F: Y! R m ... WebJun 5, 2024 · Geometry of immersed manifolds A theory that deals with the extrinsic geometry and the relation between the extrinsic and intrinsic geometry (cf. also Interior geometry) of submanifolds in a Euclidean or Riemannian space. sportsmen for fish \u0026 wildlife
THE TOTAL CURVATURE OF KNOTTED SPHERES - American …
Webincollection R. Lashof: “ Personal recollection of Chern at Chicago,” pp. 104– 105 in S. S. Chern: A great geometer of the twentieth century. Edited by S.-T. Yau . Monographs in geometry and topology . WebJul 13, 2012 · We prove Gauß-Bonnet-type and Chern-Lashof-type formulas for immersions in hyperbolic space. Moreover we investigate the notion of tightness with respect to horospheres introduced by T.E. Cecil and P.J. Ryan. We introduce the notions of top-set and drop-set, and we prove fundamental properties of horo-tightness in … WebHe was recently listed as one of America's Top Surgeons. Wilmette Office. 3201 Old Glenview Rd. Suite 130. Wilmette, IL 60091. 847-673-6505 Phone. 847-673-2099 Fax. … sportsmen for heroes foundation