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This paper introduces the term, ”combined manifold,” which essentially is the graph of a diffeomorphism from one manifold to another.Following a previously published article about “invisible energies”...
We introduce Finsler metric on complex manifold and discuss connections induced by this metric.
A geometric reduction procedure for volume-preserving flows with a volume-preserving symmetry on an n-dimensional manifold is obtained. Instead of the coordinate-dependent theory and the concrete coor...
2002Vol.37No.3pp.349-352DOI: The Geometric Construction of WZW Effective Action in Noncommutative Manifold HOU Bo-Yu, WANG Yong-Qiang, YANG Zhan-Ying and YUE Rui-Hong In...
The study of CR-submanifolds of a Kaehler manifold was initiated by Bejancu [1]. Since then many papers have appeared on CR-submanifolds. The purpose of this paper is to studied the CR-submanifolds of...
The aim in the present paper is to study some basic geometric properties of semi-slant submanifolds of a nearly Kaehler manifold.
The object of the present paper is to study the geometry of trans-Sasakian manifold when it is projectively semi-symmetric, Weyl semi-symmetric and concircularly semi-symmetric.
In this paper, the geometry of F-invariant submanifolds of a Kaehlerian product manifold is studied. The fundamental properties of these submanifolds are investigated such as pseudo umbilical, curvatu...
In this paper, we study coisotropic submanifolds of a semi-Riemannian manifold. We investigate the integrability condition of the screen distribution and give a necessary and sufficient condition on R...
In this paper, we generalize the geometry of the invariant submanifolds of Riemannian product manifold to the geometry of the invariant submanifolds of Riemannian warped product manifold. We investiga...
Let M be a projective manifold, p:M_{G} --> M a regular covering over M with a free abelian transformation group G. We describe holomorphic functions on M_{G} of an exponential growth with respect to...
We present a new, more elementary proof of the Freedman-Teichner result that the geometric classification techniques (surgery, s-cobordism, and pseudoisotopy) hold for topological 4-manifolds with gr...
In this paper, we proved that any closed orientable 3-manifold 1-dominates at most finitely many geometric 3-manifolds
In this work, we discuss the calculation of cohomology rings of LG / T. First we describe the root system and Weyl group of LG, then we give some homotopy equivalences on the loop groups and homogeneo...

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