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作品数:522被引量:677H指数:10
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Conformal Vector Fields on Finsler Warped Product Manifolds
《Acta Mathematica Sinica,English Series》2023年第8期1624-1634,共11页Xiao Ling ZHANG Ya Lu FENG 
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...
关键词:Finsler warped product manifold conformal vector field homothetic vector field Killing vector field 
H'-splittings of Seifert Manifolds with Boundary
《Acta Mathematica Sinica,English Series》2023年第4期695-706,共12页Yan XU Feng Chun LEI Feng Ling LI 
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...
关键词:Seifert manifold H'-splitting vertical or horizontal surface amalgamated 3-manifold 
Characterization of Almostη-Ricci–Yamabe Soliton and Gradient Almostη-Ricci–Yamabe Soliton on Almost Kenmotsu Manifolds
《Acta Mathematica Sinica,English Series》2023年第4期728-748,共21页Somnath MONDAL Santu DEY Arindam BHATTACHARYYA 
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...
关键词:Ricci soliton (k μ)-almost Kenmotsu manifold (r μ)-almost Kenmotsu manifold n-Ricci-Yamabe soliton 
Nonexistence of the Quasi-harmonic Spheres and Harmonic Spheres into Certain Manifold
《Acta Mathematica Sinica,English Series》2022年第7期1271-1276,共6页Yao Ting GUI 
Supported by NSFC(Grant No.11721101)。
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...
关键词:Nonexistence of harmonic spheres nonexistence of quasi-harmonic spheres warped product structure 
Pluriclosed Manifolds with Constant Holomorphic Sectional Curvature
《Acta Mathematica Sinica,English Series》2022年第6期1094-1104,共11页Pei Pei RAO Fang Yang ZHENG 
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...
关键词:Pluriclosed manifold Hermitian manifold Strominger connection holomorphic sectional curvature 
A Kenmotsu Metric as a *-conformal Yamabe Soliton with Torse Forming Potential Vector Field被引量:1
《Acta Mathematica Sinica,English Series》2021年第12期1896-1908,共13页Soumendu ROY Arindam BHATTACHARYYA 
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...
关键词:*-conformal Yamabe soliton torse forming vector field conformal Killing vector field Kenmotsu manifold 
Classifications of Isoparametric Hypersurfaces in Randers Space Forms被引量:2
《Acta Mathematica Sinica,English Series》2020年第9期1049-1060,共12页Qun HE Pei Long DONG Song Ting YIN 
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...
关键词:Isoparametric HYPERSURFACE Randers space FORM principal CURVATURE ANISOTROPIC sub-manifold 
Topics on the Geometry of Rational Homogeneous Spaces
《Acta Mathematica Sinica,English Series》2020年第8期851-872,共22页Laurent MANIVEL 
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...
关键词:Calabi-Yau manifold derived category Hyperkahler manifold rational homogeneous space GRASSMANNIAN flop fano variety abelian surface 
Errata to “On Self-mapping Degrees of S^3-geometry Manifolds”
《Acta Mathematica Sinica,English Series》2019年第12期1979-1982,共4页Xiao Ming DU Xue Zhi ZHAO 
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...
关键词:Mapping DEGREE SPHERICAL MANIFOLD 
The Linearized Calderón Problem on Complex Manifolds
《Acta Mathematica Sinica,English Series》2019年第6期1043-1056,共14页Colin GUILLARMOU Mikko SALO Leo TZOU 
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 ...
关键词:INVERSE PROBLEM Calderón PROBLEM COMPLEX MANIFOLD 
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