Unique isometric immersion into hyperbolic space.
Untermannigfaltigkeiten reduktiver Räume
Untermannigfaltigkeiten von homogenen Räumen
Untermannigfaltigkieten mit paralleler zweiter Fundamentalform in euklidischen Räumen und Sphären.
Upper bound for the first eigenvalue of algebraic submanifolds.
Variational theory of Riemannian subspaces.
Variétés pseudo-ombilicales de codimension 2 et de courbure moyenne constante dans un espace elliptique à dimensions et généralisations
Vector bundles as an instrument of the metric and conformal differential geometry (Preliminary communication)
Vierscheitelsatz auf Flächen nichtpositiver Krümmung.
Volume comparison theorem for tubular neighborhoods of submanifolds in Finsler geometry and its applications
We consider the distance to compact submanifolds and study volume comparison for tubular neighborhoods of compact submanifolds. As applications, we obtain a lower bound for the length of a closed geodesic of a compact Finsler manifold. When the Finsler metric is reversible, we also provide a lower bound of the injectivity radius. Our results are Finsler versions of Heintze-Karcher's and Cheeger's results for Riemannian manifolds.
Volume minimization of Lagrngian submanifolds under Hamiltonian deformations.
Warped Product CR-Submanifolds in Lorentzian para Sasakian Manifolds
2000 Mathematics Subject Classification: 53C15, 53C40, 53C42.Many research articles have recently appeared exploring existence or non existence of warped product submanifolds in known spaces (cf. [2, 5, 8]). The objective of the present paper is to study the existence or non-existence of contact CR-warped products in the setting of LP-Sasakian manifolds.This work is supported by the research grant RG117/10AFR (University of Malaya).
Warped Product Semi-Slant Submanifolds of a Sasakian Manifold
2000 Mathematics Subject Classification: 53C40, 53C25.In the present note, it is proved that there donot exist warped product semi-slant submanifolds in a Sasakian manifold other than contact CR-warped product submanifolds and thus the results obtained in [8] are generalized.
Warped product submanifolds in generalized complex space forms.
Warped product submanifolds in quaternion.
Warped product submanifolds of cosymplectic manifolds.
Warped product submanifolds of Kaehler manifolds with a slant factor
Recently, we showed that there exist no warped product semi-slant submanifolds in Kaehler manifolds. On the other hand, Carriazo introduced anti-slant submanifolds as a particular class of bi-slant submanifolds. In this paper, we study such submanifolds in detail and show that they are useful to define a new kind of warped product submanifolds of Kaehler manifolds. In this direction, we obtain the existence of warped product hemi-slant (anti-slant) submanifolds with examples. We give a characterization...
Weakly convex curves and polygones with pinched strictly negative curvature. (Courbes et polygones faiblement convexes en courbure strictement négative pincée.)
Weyl space forms and their submanifolds
We study the geometric structure of a Gauduchon manifold of constant curvature. We give a necessary and sufficient condition for a Gauduchon manifold to be a Gauduchon manifold of constant curvature, and we classify the Gauduchon manifolds of constant curvature. Next, we investigate Weyl submanifolds of such manifolds.
Zur Differentialgeometrie der Untermannigfaltigkeiten eines Kleinschen Raumes