Zobrazeno 1 - 10
of 290
pro vyhledávání: '"SARKAR, SOUMEN"'
Autor:
Jana, Supriyo, Sarkar, Soumen
In this paper, we characterize arbitrary polynomial vector fields on $S^n$. We establish a necessary and sufficient condition for a degree one vector field on the odd-dimensional sphere $S^{2n-1}$ to be Hamiltonian. Additionally, we classify polynomi
Externí odkaz:
http://arxiv.org/abs/2412.02190
Let $X$ be a $G$-space. In this paper, we introduce the notion of sectional category with respect to $G$. As a result, we obtain $G$-homotopy invariants: the LS category with respect to $G$, the sequential topological complexity with respect to $G$ (
Externí odkaz:
http://arxiv.org/abs/2410.00139
LS-category and topological complexity of real torus manifolds and Dold manifolds of real torus type
The real torus manifolds are a generalization of small covers and generalized real Bott manifolds. We compute the LS-category of these manifolds under some constraints and obtain sharp bounds on their topological complexities. We obtain a simplified
Externí odkaz:
http://arxiv.org/abs/2401.06680
Publikováno v:
Qual. Theory Dyn. Syst. 23, 121 (2024)
In this paper, we characterize and study dynamical properties of cubic vector fields on the sphere $\mathbb{S}^2 = \{(x, y, z) \in \mathbb{R}^3 ~|~ x^2+y^2+z^2 = 1\}$. We start by classifying all degree three polynomial vector fields on $\mathbb{S}^2
Externí odkaz:
http://arxiv.org/abs/2310.14238
Determination of the Young modulus of a metal bar in the form of a cantilever is an old experimental concept. However, we have taken the advantage of modern advanced technology of smartphone camera to find the load depression graph of the cantilever
Externí odkaz:
http://arxiv.org/abs/2307.12312
Autor:
Jana, Supriyo, Sarkar, Soumen
In this paper, we consider the following two algebraic hypersurfaces $$S^1\times S^2=\{(x_1,x_2,x_3,x_4)\in \mathbb{R}^4:(x_1^2+x_2^2-a^2)^2 + x_3^2 + x_4^2 -1=0;~ a>1\}$$ and $$S^2\times S^1=\{(x_1,x_2,x_3,x_4)\in \mathbb{R}^4:(x_1^2+x_2^2+x_3^2-b^2
Externí odkaz:
http://arxiv.org/abs/2307.09439
In this paper, we compute the LS-category and equivariant LS-category of a small cover and its real moment angle manifold. We calculate a tight lower bound for the topological complexity of many small covers over a product of simplices. Then we compu
Externí odkaz:
http://arxiv.org/abs/2306.00916
Autor:
Brahma, Koushik, Sarkar, Soumen
In this paper, we define `simplicial GKM orbifold complexes' and study some of their topological properties. We introduce the concept of filtration of regular graphs and `simplicial graph complexes', which have close relations with simplicial GKM orb
Externí odkaz:
http://arxiv.org/abs/2302.09581
Autor:
Daundkar, Navnath, Sarkar, Soumen
In this paper, we study upper bounds for the topological complexity of the total spaces of some classes of fibre bundles. We calculate a tight upper bound for the topological complexity of an $n$-dimensional Klein bottle. We also compute the exact va
Externí odkaz:
http://arxiv.org/abs/2302.00468
In this work we have determined the focal length of a concave lens by photographing the virtual image of an object by a smartphone camera. We have similarly determined the focal length of a convex lens by forming a virtual image of an object keeping
Externí odkaz:
http://arxiv.org/abs/2210.08751