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41 papers · 1 filter
Complex structures on product of circle bundles over complex manifolds
Parameswaran Sankaran, Ajay Singh Thakur
Let $\bar{L}_i\lr X_i$ be a holomorphic line bundle over a compact complex manifold for . Let denote the associated principal circle-bundle with respect to some hermit…
Oriented Cobordism of $\CP^{2k+1}$
Soumen Sarkar
We give a new construction of oriented manifolds having the boundary $\CC P^{2k+1}$ for each . The main tool is the theory of quasitoric manifolds.
On Pseudo-Convex Partitions of a Planar Point Set
Bhaswar B. Bhattacharya, Sandip Das
Aichholzer et al. [{\it Graphs and Combinatorics}, Vol. 23, 481-507, 2007] introduced the notion of pseudo-convex partitioning of planar point sets and proved that the pseudo-conve…
Holes or Empty Pseudo-Triangles in Planar Point Sets
Bhaswar B. Bhattacharya, Sandip Das
Let denote the smallest integer such that any set of at least points in the plane, no three on a line, contains either an empty convex polygon with ve…
A Family of Non-commutative geometries
Debabrata Sinha, Pulak Ranjan Giri
It is shown that the non-commutativity in quantum Hall system may get modified. The self-adjoint extension of the corresponding Hamiltonian leads to a family of non-commutative geo…
A semi-analytical approach to perturbations in mutated hilltop inflation
Barun Kumar Pal, Supratik Pal, B. Basu
We study cosmological perturbations and observational aspects for mutated hilltop model of inflation. Employing mostly analytical treatment, we evaluate observable parameters durin…