Rigidity and Convexity of Hypersurfaces in Spheres

M. P. do Carmo and F. W. Warner
Additional contact information
M. P. do Carmo: University Of California
F. W. Warner: University Of California

A chapter in Manfredo P. do Carmo – Selected Papers, 2012, pp 65-76 from Springer

Abstract: Abstract We shall consider isometric immersions $$x:{\text M}^{n}\rightarrow\,\,{\text X}^{n+1}$$ of a compact, connected, orientable, n-dimensional $$(n\geq 2),{\text C}^\infty$$ Riemannian manifold $${\text M}^{n}$$ in a simply connected Riemannian manifold $${\text X}^{n+1}$$ of constant sectional curvature.

Keywords: Riemannian Manifold; Convex Body; Sectional Curvature; Fundamental Form; Hyperbolic Space (search for similar items in EconPapers)
Date: 2012
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-25588-5_6

Ordering information: This item can be ordered from
http://www.springer.com/9783642255885

DOI: 10.1007/978-3-642-25588-5_6

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().