75 citations · 583 across the 36 of their papers we have counts for
11 papers · 1 filter
A classification of conformally flat generalized Ricci recurrent pseudo-Riemannian manifolds
Avik De, Loo-Tee How
Conformally flat pseudo-Riemannian manifolds with generalized Ricci recurrent, structure are completely classified in this short report. A conformally flat generalized Ric…
Real hypersurfaces in complex Grassmannians of rank two with semi-parallel structure Jacobi operator
Avik De, Tee-How Loo, Changhwa Woo
We prove that there does not exist any real hypersurface in complex Grassmannians of rank two with semi-parallel structure Jacobi operator. With this result, the nonexistence of re…
-invariant real hypersurfaces in complex Grassmannians of rank two
Ruenn-Huah Lee, Tee-How Loo
Let be a real hypersurface in complex Grassmannians of rank two. Denote by the quaternionic Kähler structure of the ambient space, the normal bundle ov…
-principal Hopf hypersurfaces in complex quadrics
Tee-How Loo
A real hypersurface in the complex quadric is said to be -principal if its unit normal vector field is singular of type -principal…
Hopf hypersurfaces in complex Grassmannians of rank two
Ruenn-Huah Lee, Tee-How Loo
In this paper, we study real hypersurfaces in complex Grassmannians of rank two. First, the nonexistence of mixed foliate real hypersurfaces is proven. With this result, we show th…
On real hypersurfaces in non-flat complex space forms with a condition on the structure Jacobi operator OPERATOR
S. H. Kon, Tee-How Loo, Shiquan Ren
In this paper we prove some classification theorems of real hypersur- faces in Mn(c) satisfying certain conditions on the covariant derivative of the structure Jacobi operator. We…
Generalized Sasakian space forms and Riemannian manifolds of quasi constant sectional curvature
Avik De, Tee-How Loo
In this paper, we show that a generalized Sasakian space form of dimension greater than three is either of constant sectional curvature; or a canal hypersurface in Euclidean or Min…
Real Hypersurfaces of Type A in Complex Two-Plane Grassmannians Related to The Reeb Vector Field
Ruenn-Huah Lee, Tee-How Loo
Y. J. Suh and H. Lee (Bull. Korean. Math. Soc. 47, 551-561 (2010)) characterized real hypersurfaces of type by the invariance of vector bundle under the shape o…
Real hypersurfaces with pseudo-parallel normal Jacobi operator in complex two-plane Grassmannians
Avik De, Tee-How Loo
The objective of the present paper is to prove the non-existence of real hypersurface with pseudo-parallel normal Jacobi operator in complex two-plane Grassmannians. As a corollary…
Pseudo parallel CR-submanifolds in a non-flat complex space form
Avik De, Tee-How Loo
We classify pseudo parallel proper CR-submanifolds in a non-flat complex space form with CR-dimension greater than one. With this result, the non-existence of recurrent as well as…
Semi-parallel real hypersurfaces in complex two-plane Grassmannians
Tee-How Loo
We prove that there does not exist any semi-parallel real hypersurface in complex two-plane Grassmannians. With this result, the nonexistence of recurrent real hypersurfaces in com…