5 citations · 11 across the 10 of their papers we have counts for
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Inertia Groups and Smooth Structures on Quaternionic Projective Spaces
Samik Basu, Ramesh Kasilingam
This paper deals with certain results on the number of smooth structures on quaternionic projective spaces, obtained through the computation of inertia group and its analogues, whi…
Homotopy Inertia Groups and Tangential Structures
Ramesh Kasilingam
We show that if and have the same homotopy type of simply connected closed smooth -manifolds such that the integral and mod- cohomologies of vanish in odd degrees…
Topological Rigidity Problems
Ramesh Kasilingam
We survey the recent results and current issues on the topological rigidity problem for closed aspherical manifolds, i.e., connected closed manifolds whose universal coverings are…
Smooth and PL-Rigidity Problems on Locally Symmetric Spaces
Ramesh Kasilingam
This is a survey on known results and open problems about Smooth and PL-Rigidity Problem for negatively curved locally symmetric spaces. We also review some developments about stud…
The classification of smooth structures on a homotopy complex projective space
Ramesh Kasilingam
We classify, up to diffeomorphism, all closed smooth manifolds homeomorphic to the complex projective -space , where and . Let be a clo…
Inertia groups and smooth structures of -connected -manifolds
Ramesh Kasilingam
Let denote a closed -connected smoothable topological -manifold. We show that the group of concordance classes of smoothings of i…
Farrell-Jones spheres and inertia groups of complex projective spaces
Ramesh Kasilingam
We introduce and study a new class of homotopy spheres called Farrell-Jones spheres. Using Farrell-Jones sphere we construct examples of closed negatively curved manifolds …
Smooth Structures on a Fake Real Projective Space
Ramesh Kasilingam
We show that the group of smooth homotopy -spheres acts freely on the set of smooth manifold structures on a topological manifold which is homotopy equivalent to the real pr…