PUBLICATIONS

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3-manifold groups, Kahler groups and complex surfaces (with Indranil Biswas and Mahan Mj), To appear in Communications in Contemporary Mathematics. pdf file

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Almost quarter-pinched Kahler metrics and Chern numbers (with Martin Deraux), Proceedings of AMS, 139 (2011), 2571-2576. pdf file

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Almost-Einstein manifolds with nonnegative isotropic curvature, Annales de l'institut Fourier, 60 (2010), 2493-2501. pdf file

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Surfaces of bounded mean curvature in Riemannian manifolds (with Siddartha Gadgil), Transactions of the AMS, 363 (2011), 3977-4005. pdf file

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Manifolds with nonnegative isotropic curvature, Communications in Analysis and Geometry (2009), no. 4, 621-635. pdf file

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On the topology of manifolds with positive isotropic curvature (with Siddartha Gadgil), Proceedings of the AMS, 137 (2009), 1807-1811. pdf file

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An elementary approach to gap theorems

to appear in the Proceedings of the Indian Academy of Sciences. pdf file

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On the compactness of isometry groups in complex analysis (with Kaushal Verma)

to appear in Complex Variables and Elliptic Equations. pdf file

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Complex product manifolds cannot be negatively curved (with Fangyang Zheng),

to appear in the Asian Journal of Mathematics. pdf file

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Domains in complex surfaces with non-compact automorphism groups,

(with Kaushal Verma), Journal of Mathematical Analysis and Applications 337 (2008), 1273-1283. pdf file

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On isometries of the Kobayashi and Caratheodory metrics of strongly pseudoconvex domains,

(with Kaushal Verma), Annali della Scuola Normale Superiore di Pisa (5) 5 (2006), no. 3, 393-417. pdf file

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Negative sectional curvature and the product complex structure,

Mathematical Research Letters, 13 (2006), no. 3, 495-500. pdf file

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A class of nonpositively curved Kahler manifolds biholomorphic to the unit ball in C^n

(with Kaushal Verma), C. R. Acad. Sci. Paris Ser. I Math, 342 (2006), no. 6, 427-430 pdf file

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Weyl curvature and the Euler characteristic in dimension four,

Differential Geometry and its Applications, 24 (2006), no. 2, 172-177. ps file

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Positive scalar curvature and minimal hypersurfaces,

Proceedings of the American Mathematical Society, 133 (2005), 1497-1504. ps file

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Einstein 4-manifolds with S^1-actions,

Mathematische Zeitschrift, 247 (2004),no. 3, 487-503. pdf file

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A note on negative isotropic curvature,

Mathematical Research Letters, 11 (2004), no. 2-3, 365-370. pdf file

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The Weyl functional near the Yamabe invariant

(with K. Akutagawa, B. Botvinnik and O. Kobayashi),

 Journal of Geometric Analysis, 13 (2003), no. 1, 1-20 ps file

PREPRINTS

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Totally geodesic dics in strongly convex domains (with Herve Gaussier). pdf file

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On Wilking's criterion for the Ricci flow (with H. A. Gururaja and Soma Maity). pdf file

EXPOSITORY ARTICLES

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Ricci flow and the Poincare conjecture (with Siddartha Gadgil). pdf file

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Pune AIS Notes. pdf file

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Mumbai ATM Notes. pdf file