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pro vyhledávání: '"Masanta, Rumpa"'
Autor:
Bharali, Gautam, Masanta, Rumpa
In this paper, we investigate the question of whether a non-constant absolutely continuous path can be reparametrised as being unit speed with respect to the Kobayashi metric. Even when the answer is "Yes," which isn't always the case, its proof invo
Externí odkaz:
http://arxiv.org/abs/2409.03709
Autor:
Masanta, Rumpa
We answer a question asked recently by Banik in the negative by showing that for each $n\geq 2$, there exists a taut visibility domain in $\mathbb{C}^n$ that is not Kobayashi complete. The domains that we produce are bounded and have boundaries that
Externí odkaz:
http://arxiv.org/abs/2407.07079
Autor:
Masanta, Rumpa
In this paper, we extend the notion of visibility relative to the Kobayashi distance to domains in arbitrary complex manifolds. Visibility here refers to a property resembling visibility in the sense of Eberlein--O'Neill for Riemannian manifolds. Sin
Externí odkaz:
http://arxiv.org/abs/2406.09376
Autor:
Masanta, Rumpa
In this paper, we give sufficient conditions for Cauchy-completeness of Kobayashi hyperbolic domains in complex manifolds. The first result gives a sufficient condition for completeness for relatively compact domains in several large classes of manif
Externí odkaz:
http://arxiv.org/abs/2308.07181
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