Parallel Focal Structure and Singular Riemannian Foliations [PDF]
arXiv, 2004 We prove that a submanifold with parallel focal structure, which is a generalization of isoparametric and equifocal submanifolds, induces a singular Riemannian foliation of the ambient space by its parallel and focal manifolds.
arxiv
The First Eigenvalue for Compact Minimal Embedded Hypersurface in $S^{n+1}(1)$ ($n\geq 3$) is $n$ [PDF]
arXiv, 2004 I'm sorry that there is a gap in this paper.
arxiv
DUAL TIMELIKE NORMAL AND DUAL TIMELIKE SPHERICAL CURVES IN DUAL MINKOWSKI SPACE
Süleyman Demirel Üniversitesi Fen-Edebiyat Fakültesi Fen Dergisi, 2009 : In this paper, we give characterizations of dual timelike normal and dual timelike spherical curves in the dual Minkowski 3-space and we show that every dual timelike normal curve is also a dual timelike spherical curve.
Mehmet ÖNDER
doaj
CR-submanifolds. A class of examples [PDF]
Revue Roumaine Math. Pures Appl. 51 (2006), 1, 77-85, 2005 I present a class of examples of \CR-submanifolds of manifolds endowed with different structures, obtained as level sets of momentum maps associated to specific Hamiltonian actions.
arxiv
'Spindles' in symmetric spaces [PDF]
arXiv, 2005 We study families of submanifolds in symmetric spaces of compact type arising as exponential images of s-orbits of variable radii. Special attention is given to the cases where the s-orbits are symmetric.
arxiv
Real hypersurfaces with constant principal curvatures in complex hyperbolic spaces [PDF]
arXiv, 2005 We classify all real hypersurfaces with three distinct constant principal curvatures in complex hyperbolic spaces of dimension greater than two.
arxiv
Uniqueness of Hamiltonian volume minimizing Lagrangian submanifolds which are Hamiltonian isotopic to RP^n in CP^n [PDF]
arXiv, 2005 The purpose of this short note is to prove the uniqueness of Hamiltonian volume minimizing Lagrangian submanifolds which are Hamiltonian isotopic to RP^n in CP^n modulo isometric group actions.
arxiv
Real hypersurfaces with constant principal curvatures in the complex hyperbolic plane [PDF]
arXiv, 2006 We classify all real hypersurfaces with constant principal curvatures in the complex hyperbolic plane.
arxiv
Weakly reflective submanifolds and austere submanifolds [PDF]
arXiv, 2006 We introduce the notion of a weakly reflective submanifold, which is an austere submanifold with a certain global condition, and study its fundamental properties. Using these, we determine weakly reflective orbits and austere orbits of s-representations.
arxiv
Rigidity Theorems For Lagrangian Submanifolds of $C^n$ and $CP^n$ With Conformal Maslov Form [PDF]
arXiv, 2008 In this paper, we obtain a rigidity theorem for Lagrangian submanifolds of $C^n$ and $CP^n$ with conformal Maslov form.
arxiv