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Integral formulas in Riemannian geometry

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The article was published on 1970-01-01 and is currently open access. It has received 329 citations till now. The article focuses on the topics: Riemannian geometry & Fundamental theorem of Riemannian geometry.

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Geometry of Slant Submanifolds

Bang-Yen Chen
TL;DR: The present volume is the written version of the series of lectures the author delivered at the Catholic University of Leuven, Belgium during the period of June-July, 1990.
Journal ArticleDOI

On quasi Einstein manifolds

TL;DR: The hypersurfaces of a Euclidean space have been studied and the existence of (QE)n manifolds is proved.
Journal ArticleDOI

Totally geodesic submanifolds of symmetric spaces, I

TL;DR: In this paper, Chen and Nagano established a general method to determine stability of totally geodesic submanifolds of symmetric spaces, and established a stability theorem for minimal totally real sub- manifolds of Kahlerian manifolds.
Journal ArticleDOI

Certain Results on K-Contact and (k, μ)-Contact Manifolds

TL;DR: In this article, Boyer and Galicki showed that a complete K-contact gradient soliton is a Jacobi vector field along the geodesics of the Reeb vector field.
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Posted Content

Geometry of Slant Submanifolds

Bang-Yen Chen
TL;DR: The present volume is the written version of the series of lectures the author delivered at the Catholic University of Leuven, Belgium during the period of June-July, 1990.
Journal ArticleDOI

On quasi Einstein manifolds

TL;DR: The hypersurfaces of a Euclidean space have been studied and the existence of (QE)n manifolds is proved.
Journal ArticleDOI

Totally geodesic submanifolds of symmetric spaces, I

TL;DR: In this paper, Chen and Nagano established a general method to determine stability of totally geodesic submanifolds of symmetric spaces, and established a stability theorem for minimal totally real sub- manifolds of Kahlerian manifolds.
Journal ArticleDOI

Certain Results on K-Contact and (k, μ)-Contact Manifolds

TL;DR: In this article, Boyer and Galicki showed that a complete K-contact gradient soliton is a Jacobi vector field along the geodesics of the Reeb vector field.