Supported by National Natural Science Foundation of China(Grant Nos.11961061,11461064,11761069);Natural Science Foundation of Xinjiang Uygur Autonomous Region,China(Grant No.2015211C277)。
In this paper,we study the conformal vector fields on Finsler warped product manifolds.We obtain a system of equivalent equations that the conformal vector fields on Finsler warped product manifolds satisfy and comple...
Supported in part by (Grant No.12071051)of NSFC;the Fundamental Research Funds (Grant No.DUT21LAB302)for the Central Universities。
It is known that each compact connected orient able 3-manifold M with boundary admits an H’-splitting H1∪FH2,where F is a compact connected orientable surface properly embedded in M and splits M into two handlbodies...
The first author is supported by UGC Junior Research Fellowship of India (Grant No.1157/ (SC) (CSIR-UGC NET DEC.2016))。
The prime object in this article is to study an almostη-Ricci-Yamabe soliton and gradient almostη-Ricci-Yamabe soliton within the framework of almost Kenmotsu manifolds.It is shown that normal almost Kenmotsu manifo...
We mainly study the nonexistence of quasi-harmonic spheres and harmonic spheres into spheres of any dimension which omits a neighbourhood of totally geodesic submanifold of co-dimension 2.We will show that such target...
supported by NSFC(Grant No.12071050);Chongqing Normal University。
A long-standing conjecture in complex geometry says that a compact Hermitian manifold with constant holomorphic sectional curvature must be Kèahler when the constant is non-zero and must be Chern flat when the consta...
Supported by Swami Vivekananda Merit Cum Means Scholarship;Government of West Bengal,India。
The purpose of the present paper is to deliberate *-conformal Yamabe soliton,whose potential vector field is torse-forming on Kenmotsu manifold.Here,we have shown the nature of the soliton and find the scalar curvatur...
Supported by NNSFC(Grant Nos.11471246 and 11971253);AHNSF(Grant No.1608085MA03);KLAMFJPU(Grant No.SX201805);The authors would like to thank the referees for their time and valuable comments.
In this paper,we give the complete classifications of isoparametric hypersurfaces in Randers space forms.By studying the principal curvatures of anisotropic submanifolds in a Randers space(N,F)with the navigation data...
This is a survey paper about a selection of results in complex algebraic geometry that appeared in the recent and less recent litterature,and in which rational homogeneous spaces play a prominent role.This selection i...
Supported by NSFC(Grant Nos.11571246,11431009,11661131004);the Fundamental Research Funds for the Central Universities in China
The set of self-mapping degrees of S^3-geometry 3-manifolds in[2]have some mistakes when the fundamental group of the 3-manifold is D4n^*,O48^*,D'n·2q or T'8·3q.So we need to make this errata.The self-mapping degree...
partially supported by ERC Consolidator Grant IPFLOW(Grant No.725967);supported by the Academy of Finland(Finnish Centre of Excellence in Inverse Problems Research(Grant Nos.284715 and 309963));by the European Research Council under FP7/2007-2013 ERC StG(Grant No.307023);Horizon 2020 ERC CoG(Grant No.770924);partially supported by Australian Research Council(Grant Nos.DP190103302 and DP190103451)
In this note we show that on any compact subdomain of a K?hler manifold that admits sufficiently many global holomorphic functions, the products of harmonic functions form a complete set. This gives a positive answer ...