in part supported by NSFC (Grant No. 11671352);supported by NSFC (Grant No. 11901170)
The well-known Berwald square metric is a positively complete and projectively flat Finsler metric with vanishing flag curvature. In this paper, we study a positively complete square metric on a manifold. We show a ri...
supported by the National Natural Science Foundation of China(Grant No.12171397);Panyue Zhou is supported by the National Natural Science Foundation of China(Grant No.12371034);by the Hunan Provincial Natural Science Foundation of China(Grant No.2023JJ30008)。
Let C be a triangulated category. We define m-term subcategories on C induced by n-rigid subcategories, which are extriangulated subcategories of C. Then we give a one-to-one correspondence between cotorsion pairs on ...
Supported by NSFC(Grant Nos.12271438,12071370 and U1803263);China Scholarship Council(Grant No.202006290386)。
A graph G is edge-k-choosable if,for any assignment of lists L(e)of at least k colors to all edges e∈E(G),there exists a proper edge coloring such that the color of e belongs to L(e)for all e∈E(G).One of Vizing’s c...
Submission Authors must use LaTeX for typewriting,and visit our website www.actamath.com to submit your paper.Our address is Editorial Office of Acta Mathematica Sinica,Academy of Mathematics and Systems Science,Chine...
Supported by grants from the NSF of China(Grant Nos.2024YFA101350,U23A2064 and 12031005)。
We establish the Strassen's law of the iterated logarithm(LIL for short)for independent and identically distributed random variables with E[X_(1)]=ε[X_(1)]=0 and Cv[X_(1)^(2)]<∞ under a sublinear expectation space w...
Supported by NSFC grants for Youth Program (Grant No. 12201011)
The classical Mumford stability condition of vector bundles on a complex elliptic curve X, can be viewed as a Bridgeland stability condition on D^(b) (Coh X), the bounded derived category of coherent sheaves on X. Thi...
In this article,we discuss the approach to solving a nonlinear PDE equation,specifically the p-Laplacian equation,with a general(nonlinear)boundary condition.We establish the existence and uniqueness of the solution,s...
supported by Natural Science Foundation of Shandong Province(Grant Nos.ZR2020MA032,ZR2022MA029);National Natural Science Foundation of China(Grant Nos.12171279,72171133);The second named author was supported by National Key R&D Program of China(Grant No.2022YFA1006102);National Natural Science Foundation of China(Grant No.11831010)。
This paper concerns two-player zero-sum stochastic differential games with nonanticipative strategies against closed-loop controls in the case where the coefficients of mean-field stochastic differential equations and...
In this paper, we obtain some sufficient and necessary conditions for indecomposable positive definite integral lattices with discriminants 2, 3, 4 and 5 over Z being additively indecomposable lattices. Using these re...