ABOUT KRONROD-REEB GRAPH OF A FUNCTION ON A MANIFOLD

By V. Sharko. 2006

81 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/10ed68eb80319fc4f81339394f162bfdb831608b

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

1. Osamu Saeki
2. L. Michalak
3. Y. Masumoto

Citations in the corpus

• Realization of a graph as the Reeb graph of a Morse function on a manifold (2018, methodology): “In Section 4 we prove an analogue to the Sharko and Masumoto–Saeki theorem in arbitrary dimension.”
• A SMOOTH FUNCTION ON A MANIFOLD WITH GIVEN REEB GRAPH (2011, background): “In [11] Sharko studied the Reeb graphs of smooth functions on closed manifolds of dimension ≥ 2 with only finitely many critical points, and gave several characterizations of those finite graphs which can be the Reeb graph of such a function.”